Bernd Krauskopf is Professor of Applied Mathematics at the University of Auckland. He received an MSc from RWTH Aachen and then a PhD from the University of Groningen. He held positions at Cornell University and VU Amsterdam before joining the University of Bristol in 1998, where he worked until joining the University of Auckland in 2011. Professor Krauskopf's research is in dynamical systems theory and its applications. He made fundamental contributions to theory and led impactful research programmes that introduced newtechniques to solve real-world problems, including determining the observable dynamics of prototypical laser systems, analysing and improving aircraft ground manoeuvring, and understanding feedback mechanisms in control and climate modelling. Professor Krauskopf as been PI on large grants, including an Advanced Research Fellowship, the Dodd-Walls Centre of Research Excellence and a NZ Marsden grant, and received substantial industry funding.

Hinke Osinga is Professor of Applied Mathematics at the University of Auckland, New Zealand. Her research focuses on dynamical systems theory and the development and application of numerical methods for computing invariant manifolds. Her publications, illustrations, animations and outreach activities have made her famous worldwide in the mathematics and arts communities. She is a Fellow of the Royal Society of New Zealand, of the New Zealand Mathematical Society, and of the Society for Industrial and Applied Mathematics. In 2024 she was awarded the ANZIAM Medal from the Australian and New Zealand Industrial and Applied Mathematics Society. She obtained her PhD from the University of Groningen, the Netherlands, and has held previous positions at the Universities of Bristol and Exeter in the UK, and Cornell University, California Institute of Technology and the Geometry Center in the USA

Abstract: There has been considerable interest recently in invariant sets that are complicated and/or interact with one another in a complicated way, in particular, hyperbolic sets and new kinds of chaotic attractors in higher-dimensional maps and flows. A key feature of this type of dynamics is intriguing interactions between stable and unstable manifolds of periodic orbits or other saddle-type sets that induce certain robustness properties. An issue in the field is a lack of explicitly given example systems with these features. This session will review the present state-of-the-art with a number of case studies of how one may find and characterize complicated invariant sets in different contexts, including diffeomorphisms, non-invertible and non-smooth maps, as well as Poincaré maps of flows.

Speakers (continually updating)

1. Indranil Ghosh, Resonant grazing bifurcations in simple impacting systems, Massey University
2. Sanaz Amani, Exploring blenders of a Hénon-like map in the presence of periodic or chaotic attractors, University of Auckland
3. Katsutoshi Shinohara, title TBA, Hitotsubashi University
4. Sam Doak, Interactions of invariant manifolds of a wildly chaotic hyperbolic set, University of Auckland
5. Bernd Krauskopf, An abundance of heterodimensional cycles via period-doubling, University of Auckland

Dr. Meng Fan is currently a full professor of mathematics at Northeast Normal University of P R China starting in 2003 and is now serving as the vice director of National Center for Applied Mathematic in Jilin. Dr. Fan received his BS in mathematics education, MS in pure mathematics,and PhD in ecology from Northeast Normal University in 1995, 1998, and 2001, respectively. Dr.Fan is the author of more than 170 refereed publications in high profile journals and co-editor of 10 books/Special Issues. Dr. Fan directs 22 PhD dissertations, and obtains 15 academic awards and 6 teaching awards. Dr. Fan establishes well-funded research programs (including 10 grants from National Natural Science Foundation of P R China) in the area of nonlinear dynamical systems and mathematical biology. Dr. Fan's research is motivated by both pure mathematics and mathematical applications in bioscience and currently focuses on mathematical-dynamical modeling of aquatic ecosystems (e.g., harmful algae bloom, jellyfish bloom, coral reef degradation), zoonosis (e.g., echinococcosis, brucellosis, avian influenza), and grassland ecosystems. Dr. Fan serves as the vice president of Chinese Society for Mathematical Biology and associate editor of International Journal of Biomathematics, Mathematical Bioscience and engineering, Journal of Applied Mathematics, and Advances in Dynamical Systems and Applications.

Dr. Ming Chen is an associate professor of mathematics at Dalian Maritime Universityof P R China starting in 2020. Dr. Chen received her BS in statistics and PhD in applied mathematics from Northeast Normal University of P R China in 2011 and 2017, respectively. Her PhD thesis is awarded as an Outstanding Doctoral Thesis of Jilin Province in P R China. Dr. Chen is selected as Dalian High-Level Local Talent and involved in Dalian Maritime University's "Xinghai Program" for faculty development. Dr. Chen's research focuses on dynamical modeling of phytoplankton blooms and marine ranching, and she has published 18 papers in high profile journals. Dr. Chen is currently leading one project from National Natural Science Foundation of P R China.

Dr. Xin Zhao is currently a lecturer of mathematics and master supervisor at Harbin Institute of Technology (Weihai) of P R China starting in 2024. Dr. Zhao received her BS in mathematics from Hebei Normal University in 2017, MS and PhD in applied mathematics from Shimane University in 2020 and Northeast Normal University in 2023, respectively. Dr. Zhao's research focuses on dynamical modeling of degradation of coral reef and outbreak of crown-of-thorns starfish, and she has published 9 papers in high profile journals. Dr. Zhao is currently leading one project from National Natural Science Foundation of P R China and one project from Shandong Provincial Natural Science Foundation.

Abstract: Mathematical ecology encompasses a broad and interdisciplinary domain where mathematical nodeling provides powerful tools to simplify, analyze, and understand the intricate complexity of ecological systems. Among these tools, discrete dynamical systems have emerged as particularly effective in capturing temporal ecological processes, offering both rich mathematical structure and ecological relevance. 

This special session aims to unite researchers worldwide to explore recent advances in discrete-time dynamical modeling within ecological contexts. Contributions are expected to highlight innovative applications of discrete models to ecological questions, bridging theoretical developments with real-world ecological phenomena. 

This special session welcomes talks that clearly articulate the ecological context, present theoretical or numerical analyses, and discuss the implications of mathematical insights for ecological understanding. Topics of interest include, but are not limited to: population dynamics, community interactions, ecosystem processes, spatial and behavioral ecology, evolutionary dynamics, conservation strategies, eco-epidemiology, chaotic and complex systems, and stochastic discrete time models. 

This special session encourages interdisciplinary dialogue and is intended for a broad audience at the intersection of mathematics and ecology.

 Speakers (continually updating)

1. Yufeng Wang, Global stability and Hopf bifurcation in a delay mosquito population suppression model with a constant release policy, Guangzhou University
2. Qihua Huang, A stage-structured continuous-/discrete-time population model: persistence and spatial spread, Southwest University
3. Maoxing Liu, Stability of a stochastic discrete eco-epidemic model with general nonlinear incidence rate, University of Civil Engineering and Architecture

Abstract: This special session will focus on recent advances in the mathematical modeling and analysis of the intricate relationships among infectious disease transmission, evolutionary population dynamics, and the Allee effect in spatially and demographically structured populations. These interconnected themes are increasingly relevant to both theoretical and applied research, as real-world disease control efforts must contend with nonlinearity, host heterogeneity, and complex spatial structures.

A central emphasis will be placed on models that explore how spatial dispersal mechanisms, environmental variability, host-pathogen feedbacks, and demographic structure influence the emergence and stability of disease-free or endemic equilibria. Of particular interest are systems that exhibit bistability, wavefront propagation, invasion thresholds, and stochastic transitions—phenomena often mediated by the presence of Allee effects, where small population densities can undermine persistence or propagation.

The session will highlight cutting-edge mathematical tools such as integro-difference equations, lattice differential equations, reaction-diffusion systems, and spatially structured stochastic processes. In particular, recent developments in the theory and applications of difference equations will be emphasized, including the study of traveling waves, bifurcations, and stability analysis in spatially discrete models. These tools are increasingly critical in understanding systems with fragmented habitats, discrete population structures, or hybrid continuous-discrete dynamics.

We also aim to showcase the integration of evolutionary game theory and modern evolution models in capturing adaptive behavior, frequency-dependent selection, and trait evolution in host-pathogen systems. These frameworks are instrumental in investigating systems such as Wolbachia-based mosquito control strategies, the spatial spread of vaccine-preventable diseases, coevolutionary host-pathogen dynamics, and ecological interventions shaped by strategic behavior and evolutionary feedback.

The Allee effect will serve as a unifying theme, linking fundamental concepts such as evolutionary rescue, extinction thresholds, spatial heterogeneity, and the design of optimal control strategies. Applications will span urgent public health challenges, including vector-borne disease suppression, gene-drive systems for population modification, microbial competition, and the design of spatially targeted strategies for epidemic mitigation.

By convening researchers across applied mathematics, difference equations, theoretical biology, epidemiology, and mathematical ecology, this session seeks to foster interdisciplinary dialogue, highlight innovative methodologies, and catalyze new collaborations. Ultimately, the session aims to deepen our understanding of how nonlinear, evolutionary, and game-theoretic dynamics interact to shape the spread and control of infectious diseases in complex biological systems.

Davide Radi is a Full Professor of Mathematics Applied to Economics and Social Sciences at the Catholic University of the Sacred Heart in Milan. He is also a Research Fellow at VŠB – Technical University of Ostrava. He serves as Principal Investigator (PI) of a PRIN project funded by the Italian Ministry of University and Research. His research focuses on dynamical systems theory and its applications to Economics and Finance, in both discrete and continuous time. He is also an expert in Game Theory, credit risk modeling, and financial instruments. Professor Radi serves as an Associate Editor for Communications in Nonlinear Science and Numerical Simulation and the Journal of Difference Equations and Applications. He organized PODE 2023 and is among the organizers of ICDEA 2024. He is an active member of several academic societies, fostering collaboration and knowledge exchange in his fields.

Nicolò Pecora is Associate Professor in the Department of Economics and Social Sciences at the Catholic University of Piacenza, where he formerly served as research fellow. He received his Ph.D. in Quantitative Methods for Economic Policy in the Catholic University of Milano. He has been involved in the European project MACFINROBODS, in various projects financed by the National Science and Technology Council of Taiwan and is currently involved in a PRIN project financed by the Italian Ministry of University and Research. His research interests include nonlinear economic dynamics, bifurcation theory, economic complexity, and financial networks. He has published papers in various economic and applied mathematics journals.

Tikjha’s research focuses on difference equations and discrete dynamical systems, including piecewise linear maps, bifurcations, and classical maps like Lotka-Volterra and Lorenz. He has published extensively and regularly presents at international conferences. He was the main organizer of ICDEA 2023 in Thailand and on the Organizing Committee for ICDEA 2024 in Paris, supporting global collaboration in the field.  

Abstract: This session brings together contributions exploring the rich and intricate dynamics of low-dimensional nonlinear maps, whether continuous or discontinuous, smooth or piecewise smooth, invertible or noninvertible. Emphasis is placed on both theoretical insights and applications, with a focus on local and global properties, invariant sets, and their bifurcations. Presentations will employ qualitative and quantitative methods from nonlinear dynamics to analyze these systems. Contributions addressing real-world applications or related theoretical developments are especially encouraged.

Speakers (continually updating)

1. Wirot Tikjha, Noninvertibility and Bifurcation Phenomena in Four-Partition Piecewise Linear Map, Pibulsongkram Rajabhat University
2. Nicolò Pecora, Heterogeneous environmental attitudes and economic dynamics in an OLG framework, Catholic University of Piacenza
3. Laura Gardini, Weird quasiperiodic attractors in a family of Belykh maps, Università degli Studi di Urbino Carlo Bo
4. Radi, to be announced
5. Sushko, to be announced
6. Simpson and Indra, to be announced
7. Indra Ghosh, to be announced
8. Fausto Cavalli, to be announced
9. Inese Bula, to be announced

Weinian Zhang graduated BSc (1984) from Peking University, MSc (1987) from Chinese Academy of Science, and PhD (1990) from Peking University. Later, he worked in the Chinese Academy of Science, Chengdu Branch, being employed as Assistant, Associate and Professorial Researcher. After 1997, he joined Sichuan University, where he has held positions of Professor (since 1997) and Second-Class Professor (since 2008). Weinian Zhang served as Dean of the School of Mathematics in the period 2017-2022.  His main scientific interests focus on the fields of difference equations, differential equations, dynamical systems and functional equations. His works cover a large variety of topics from the areas of difference and functional equations, dynamical systems, ordinary differential equations, partial differential equations, systems theory and control and mathematical biology. In recognition of his scientific activity Weinian Zhang was awarded important academic honors and distinctions, among which it is worth mentioning China Youth Science Award (1994), China National Outstanding Youth Grant (2008), and 1st class Ministry of China Natural Science Prize (2018). Weinian Zhang is an active ISDE member. Since 2021, Weinian Zhang has served on the Board of Directors of the ISDE.

Adina Luminita Sasu graduated BSc with honors (1998) and MSc with honors (1999) from the Faculty of Mathematics, West University of Timisoara, Romania, both as a Valedictorian. She obtained a PhD degree in Mathematics with honors and special distinction in 2002. In 2014 she obtained the Habilitation Degree in Mathematics from University Babes-Bolyai Cluj-Napoca, becoming a PhD supervisor.  Since 2016, she has been Full Professor at Faculty of Mathematics and Computer Science, West University of Timisoara, Romania and President of the Research Commission of the University Senate. Since 2019 she has been a member of the Academy of Romanian Scientists.  In 2024 she was promoted to Corresponding Member of the Academy of Romanian Scientists. Her scientific interests cover topics from the asymptotic behavior of dynamical systems, ergodic theory, qualitative properties of evolution equations and control theory. Since 2005 she has been a member of the International Society of Difference Equations. She organized the 23rd International Conference on Difference Equations and Applications - ICDEA 2017 as Chair of the Organizing Committee (https://icdea2017.uvt.ro/). She served on the Scientific Committees of ICDEA 2018, ICDEA 2022, PODE 2023 and PODE 2025. Since 2019 she has been a member of the ISDE Board of Directors. In 2023, 2024 and 2025 she coordinated the ISDE Newsletter. 

Abstract: The asymptotic behaviors of difference equations have been among the most active areas of research in the past decades, with a notable impact in the qualitative theory of dynamical systems and with important applications in control theory, engineering, economics, biology, and computer science. The aim of this special session is to highlight recent advances in the asymptotic theory of difference equations and discrete dynamical systems, with a special focus on stability, dichotomy, and trichotomy. Topics to be considered will include exponential stability, structural stability, exponential dichotomy, exponential trichotomy, and robustness of various asymptotic properties for both nonautonomous and variational dynamics. Among the methods to be discussed are particularly welcome: admissibility, control type techniques, shadowing, invariant sets, ergodic theory approaches, operator and spectral theory methods, as well as their applications. Other related topics of high impact in the same areas are welcome.

Speakers (continually updating)

1. Adina Luminița Sasu, Admissibility and robustness of exponential trichotomy for nonautonomous  dynamics, West University of Timișoara
2. Wenmeng Zhang, Differentiable linearization for hyperbolic and partially hyperbolic diffeomorphisms without any non-resonant condition, Chongqing Normal University
3. Linfeng Zhou, Generalized Green function, Lipschitz shadowing and generalized limit shadowing for infinite-dimensional systems, Sichuan University
4. Álvaro Castañeda, Discrete  - dichotomy spectrum, University of Chile
5. Yonghui Xia, Exponential dichotomy and generalized Pugh's global linearization theorem, Foshan University
6. Laurian Suciu, Concave operators: extensions and stability of associated contractions with applications to discrete dynamics, Lucian Blaga University of Sibiu
7. Xiao Tang, Takens theorem for nonautonomous partially hyperbolic dynamical systems, Chongqing Normal University
8. Jiyu Zhong, 1:4 Resonance, Arnold tongues and Marotto's chaos of a discrete reduced Lorenz system, Hainan University
9. Ana Șirianțu, Stability of discrete dynamics via trajectory methods with Banach sequence spaces, West University of Timișoara

Professor Ruyun Ma obtained his doctoral degree from Lanzhou University in 1997 and is currently a professor at Xidian University. He has been recognized as an excellent backbone teacher by the Ministry of Education and was selected for the national "New Century Hundred Million Talents Project" in 2009. Since 2012, he has been a recipient of the special government allowance awarded by the State Council. His research interests include bifurcation theory in differential equations, the spectral theory of linear differential operators, and difference operators. He has published numerous papers in prestigious journals such as Journal of Functional Analysis, Journal of Differential Equations, Journal of Geometric Analysis, and Linear Algebra and its Applications. From 2014 to 2023, he has been listed among China’s Most Cited Scholars by Elsevier. His accolades include one First Prize and four Second Prizes of the Gansu Province Natural Science Award, as well as the Qin Yuanxun Mathematics Award in 2015.

Abstract: This session delves into the intersection of spectral theory and topological methods in the study of discrete boundary value problems (DBVPs), a key area of research in the analysis of difference equations. Discrete boundary value problems arise in numerous fields, such as numerical analysis, engineering, and applied mathematics, where they model various phenomena with boundary conditions defined on discrete domains. Analyzing the spectra structure of these systems and employing topological methods are essential for studying the qualitative behavior of (positive) solutions, their stability, and the continua branch of the (positive) solution sets.

The session aims to provide a deep exploration of how spectral theory, particularly the behavior of eigenvalues and eigenfunctions, plays a critical role in the continuum branch of (positive) solutions to discrete boundary value problems. We will focus on the application of topological methods, such as degree theory, the fixed-point theory, the upper and lower solution method and bifurcation theory, to understand and classify the solution spaces and to study bifurcation curves, multiplicity and existence of (positive) solutions.

Speakers (continually updating)

1. Zhiming Guo, Periodic Dynamics of a Discrete Switching Reaction-Diffusion Equation with Spatial Heterogeneity, Guangzhou University
2. Jian Fang, Traveling waves for bistable monotone maps, Harbin Institute of Technology
3. Huaqing Sun, Classification, boundary triplets, Weyl functions of a class of singular matrix difference operators of mixed-order, Jiangsu Normal University
4. Chenghua Gao, Ruyun Ma,  Eigenvalues of discrete second order difference operator and its nonlinear application, Northwest Normal University
5. Feng Xiong, to be announced

Tom Cuchta is an Assistant Professor of Mathematics at Marshall University in West Virginia, USA. His research interests include special functions theory, difference equations, and time scales calculus.

Alexander Lyapin is an Associate Professor at the School of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia. His research focuses on methods of complex analysis and difference equations in enumerative combinatorics. He has held academic positions at Friedrich Schiller University Jena (Germany), Fairmont State University (West Virginia, USA), and Shenzhen MSU-BIT University (Shenzhen, China).

Abstract: In this session, we focus on advancing the study of dynamical systems on time scales by uniting researchers working in this area to present new research in this area and its special cases. Introduced by Stefan Hilger in 1988 to bridge the realms of continuous and discrete analysis, time scales offer a tool for realistic but mathematically feasible modeling. Our session aims to bring together researchers working on the theory of time scales to present recent research across the theory, including generating functions, the study of dynamic systems, partial dynamic equations, and special functions theory.

Speakers (continually updating)

1. Sreelatha Chandragiri, Fuss-Catalan numbers and difference equations for under-diagonal lattice paths, Sobolev Institute of Mathematics
2. Kruchinin D.V., Generating function for the sum of product of harmonic numbers and inverse binomial coefficients, Tomsk State University
3. Shalmali Bandyopadhyay, Nonlinear Elliptic Dirichlet Boundary Value Problem on Generalized Time Scale, U. Tennessee at Martin
4. Nick Wintz, Lindenwood University, Eigenvalue comparisons for conformable differential equations, Lindenwood University
5. Masakazu Onitsuka, TBD, Okayama University of Science
6. Tom Cuchta, Generalized special functions on time scales, Marshall University
7. Alexander Lyapin, TBD, Siberian Federal University
8. Ayca Cetinkaya, TBD, U. Tennessee at Chattanooga

Xiulan Lai - Associate professor at the School of Mathematics, Renmin University of China.  X. Lai’s research work focused on mathematical oncology with tumor-immune interactions and treatment strategies, and multiscale modeling about intracellular transport and associated neurological diseases, as well as the theories and methods in differential equations and applied dynamical systems, including stability theory of differential equations, bifurcations, traveling wave solutions, stochastic methods, and numerical scientific computing.

Wanbiao Ma - Professor at the Department of Mathematics and Mechanics, University of Science and Technology Beijing. W. Ma’s Research work focus on the stability theory of functional differential equations and difference systems, dynamic modeling, theoretical analysis, and numerical simulation of practical problems in population ecology, epidemiology, cell biology, virology & immunology, and artificial neural networks. 

Xiaotian Wu- Professor at the School of Science, Shanghai Maritime University. X. Wu’s research work focus on vector-borne disease modelling & simulations, and mathematical pharmacology using differential equations, including theories and methods in differential equations and applied dynamical systems, pharmacokinetics, pharmacodynamics, and optimal drug regimen strategies of drugs.

Abstract: Mathematical modeling with discrete or continuous dynamical systems has become a powerful tool for systematically investigating complex biomedical systems, particularly in oncology and immunology. In oncology, these models provide powerful tools to quantify tumor-immune interactions, simulate spatiotemporal tumor evolution under treatment regimens, and predict drug resistance emergence. In immunology, they reveal the complex regulatory networks governing immune responses, including nonlinear cytokine signaling and immune activation-suppression balance.

This special session aims to bring together researchers worldwide to explore cutting-edge developments in difference and/or differential equations and dynamical system modeling for biomedical applications. We seek contributions to advancing theoretical frameworks for multiscale biological systems and developing innovative applications in oncology and immunology. We will also address current challenges in the modelling frameworks. We particularly encourage submissions that bridge theoretical advances with real-world biomedical applications, offering new insights into disease mechanisms or therapeutic development.

Speakers (continually updating)

1. Xiaoqiang Sun, Nonlocal diffusion-reaction model of phenotypic heterogeneity and drug resistance in gliomas, Sun Yat-sen University
2. Ling Xue, Mathematical insights into optimizing combination immunotherapy for breast cancer, Harbin Engineering University
3. Wei Wang, Modeling caspase-1-mediated pyroptosis of the predominance for driving CD4+T cells death, Shandong University of Science and Technology
4. Shizhao Ma, Modeling tumour heterogeneity of PD-L1 expression in tumor progression and adaptive therapy, Shanghai Jiao Tong University
5. Yi Zhao, Dynamic analysis of a tumor-immune model with state feedback impulsive control for tumor treatment, University of Science and Technology Beijing

Shanshan Chen,  Professor at the Department of Mathematics, Harbin Institute of Technology, Weihai. S. Chen’s research work focuses on stability and bifurcation theory of discrete-space/discrete-time patch models with applications to biology. S. Chen’s recent interests include: global dynamics of patch models, Hopf bifurcation analysis of patch models with discrete delays, and transmission dynamics in epidemic models. 

Shuang Liu, Assistant professor at the School of Mathematics and Statistics, Beijing Institute of Technology.  S. Liu's research work primarily concentrates on partial differential equations and mathematical biology, with a specific focus on the theory of the principal eigenvalues associated with elliptic and parabolic operators, and its applications in the evolutionary dynamics of the reaction-diffusion equations in both continuous and discrete spaces. In particular, S. Liu has also worked on the dynamical analysis of time-periodic patch models with applications to mathematical biology and game theory.

Yuan Lou, Professor and Dean of School of Mathematical Sciences, Shanghai Jiao Tong University. Prof. Lou received his Ph.D in 1995 from University of Minnesota, followed by postdoc positions at MSRI and University of Chicago.  From 1998 to 2021, he was a faculty member at Ohio State University, and he served as Associate Director of Mathematical Bioscience Institute from 2009-2013. His research interest is on reaction diffusion equations and discrete-space/discrete-time patch models with applications to biology, in which he has published more than 150 research articles. He currently serves as Co Editor-in-Chief of DCDS-B series and is on the editorial boards of Journal of Mathematical Biology, Journal of Differential Equations, SIAM Journal of Applied Mathematics.

Linlin Su, Associate professor at the Department of Mathematics, Southern University of Science and Technology. L. Su’s research work focuses on qualitative theory, including long-time behavior, stability, and pattern formation, of nonlinear differential and difference equations; and their applications in mathematical biology, especially in population genetics and population dynamics.

Abstract: Habitat fragmentation and other factors often lead to discontinuous spatial distribution patterns in species. Patch models effectively characterize population dynamics and disease transmission in such discrete habitats, and analysis of their dynamical behavior provides theoretical explanation for real-world ecological phenomena. When time is discrete, patch models are difference equations; and when time is continuous, they are ODEs. A comparative study of the dynamical properties between these two types of models will help establish theoretical connections between discrete- and continuous-time problems. Spatial heterogeneity, temporal periodicity, and asymmetric dispersal collectively contribute to the complexity of patch model analysis. This special section will present some recent advances in patch model research.

Speakers (continually updating)

1. Shanshan Chen, Global dynamics of a two-species competition patch model in a Y-shaped river network, Harbin Institute of Technology
2. Wei Gou, The bifurcation dynamics of reaction-diffusion systems defined on networks, Shanxi University
3. Hao Kang, Global dynamics on an age-structured SIS epidemic patch model, Tianjin University
4. Fang Li,  Existence and nonexistence of stable patterns in semilinear  nonlocal diffusion equations, Sun Yat-sen University
5. Huichong Li, Effect of saturated incidence in an SIS epidemic patch model, Sun Yat-sen University
6. Shuang Liu, Dispersal-induced growth in the time-periodic environments, Beijing Institute of Technology
7. Linlin Su, Population dynamics of two competing species in an advective heterogeneous two-patch environment, Southern University of Science and Technology
8. Junyuan Yang, Parameter identification of age-structured epidemic models, Shanxi University
9. Hua Zhang, Ideal free dispersal of a multiple competing model with time periodicity, Shanghai Jiaotong University
10. Lei Zhang, Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for periodic patch models, Shaanxi Normal University

Kang Shugui, a professor, Ph.D, is an executive director of the Shanxi Mathematical Society, the vice president of the Shanxi Society for Industrial and Applied Mathematics, and the vice president of the Shanxi Provincial Professors Association. She is a High-level professionals in Shanxi Province, a "131" leading talent in Shanxi provincial, a provincial-level teaching master, and one of the Most Beautiful Science and Technology Workers in Shanxi in the New Era. She has presided over 2 general projects of the National Natural Science Foundation of China and several provincial-level projects such as the Shanxi Provincial Natural Science Foundation. She is in charge of the construction project of the characteristic major in Mathematics and Applied Mathematics in Shanxi Province and other projects. She has published more than 100 papers, among which more than 60 are recieved by SCI, and has published 5 acdamic books. She has won the Second Prize of the Shanxi Provincial Science and Technology Award, the Second Prize of Excellent Teaching Achievements in Shanxi Province, the May 1st Labor Medal of the Education, Science, Culture, Health and Sports System in Shanxi Province, and she is in charge of the first batch of national first-class undergraduate courses.

Guang Zhang, a professor of mathematics, Ph.D, is a member of AMS (From 1996 to present) and International Society for Difference Equations (From 2002 to present). He has published more than 100 papers for difference equations and applications.

Abstract: This special session provides a communication platform for researchers from the interdisciplinary areas of networking, dynamical system, information technology, bioinformatics, data science, artificial intelligence, and related topics. The focus is on the techniques of modelling, evaluation, and result interpretation. Both theoretical and empirical methodologies are discussed. In particular, modelling with differential and difference equations, neural networks, computer simulation and numerical solutions are most welcome.

Speakers (continually updating)

1. F. R. Guo and J. R. Wang, A new class of the dynamic viscoplastic frictional contact problem with adhesion.
2. S. Y. Jiao and H. F. Ren, Turing instability for a discrete cooperative system.
3. S. G. Kang, Y. H. Han and F. Chen, Existence and nonexistence of positive solutions for a class of fractional q-difference equations.
4. Y. L. Ou, J. Li, J. Huang, M. Wen and G. Zhang, Existence and local stability of steady-state solutions for a discrete Nagumo equation with two neurons.
5. Y. Xiong and C. J. Wu, Efficient computation of eigenvalues and eigenvectors for discrete reaction-diffusion systems using block tridiagonal matrices.

Feng Xu is an Assistant Professor with Tsinghua Shenzhen International Graduate School, Tsinghua University, China. He obtained his Bachelor’s degree in Measurement and Control Technology and Instrumentation from Northwestern Polytechnical University (Xi’an, China) in 2010 and PhD degree in Automática, Robótica y Visión from Universitat Politècnica de Catalunya (Barcelona, Spain) in 2014. From 2015-2017, he was a postdoctoral researcher in Control Science and Engineering in Tsinghua University. His research interests include fault diagnosis, state estimation, fault-tolerant control and model predictive control.  

Since February 2018, Yiming Wan has been an Associate Professor in the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China. He received his Bachelor’s degree in Automation from Huazhong University of Science and Technology (Wuhan, China) in 2007 and his Ph.D. degree in Automatic Control from Tsinghua University (Beijing, China) in 2013. From 2013 to 2016, he was a postdoctoral researcher at Delft Center for Systems and Control, Delft University of Technology, The Netherlands. During 2016 to 2018, he was a Research Associate at the Massachusetts Institute of Technology, United States.  His research interests include state estimation, fault-tolerant control, and model predictive control, and anomaly detection, with applications in flight control, unmanned systems, and batteries.

Shyam Kamal received his Bachelor's degree in Electronics and Communication Engineering from Gurukula Kangri Vishwavidyalaya Haridwar, Uttrakhand, India in 2009, and Ph.D. in Systems and Control Engineering from the Indian Institute of Technology Bombay, India in 2014. He served as a Project Assistant Professor at Kyushu Institute of Technology, Japan (2015-2016) and is currently an Associate Professor in the Department of Electrical Engineering at IIT (BHU) Varanasi, India. With 130 journal articles and conference papers, he specializes in Robot modelling and control, nonlinear control, fractional-order systems, contraction analysis, sliding mode control, and multi-agent systems. He has guided 10 Ph.D. students, with 11 currently under supervision. Shyam Kamal is also the coordinator of the Centre for Faculty Development and Educational Technology at IIT (BHU) Varanasi since January 2022. He has received the INAE Young Engineer Award (2019) and excellence awards for his Ph.D. thesis. He has held visiting professor positions at RMIT Melbourne, Australia, and Harbin Institute of Technology, China.

Songlin Yang is a Postdoc of CentraleSupélec, University Paris-Saclay. He obtained his bachelor’s, master’s, and PhD’s degrees from Harbin Engineering University, Tsinghua University, and University Paris-Saclay in Control Engineering, respectively. His interest includes constrained dynamic control, model predictive control, robustness, optimization, and safety on the closed-loop systems. 

Abstract: This invited session intends to bring together a series of contributions dealing with the feedback control design for discrete-time dynamical systems. The topics of interest are related to the stability and stabilization (finite-time or asymptotic), characterization of the domain of attraction of closed-loop systems, constraint satisfaction, safety, robustness, optimality or related topics. 

Speakers (continually updating)

1. Yilin Mi, Feng Xu, Xueqian Wang, and Yu Liu, Maximal tolerable fault set of robust MPC for passive fault tolerance with predefined performance
2. Songtao Du, Yiming Wan, Jun Xu, Jinfeng Liu, Fast joint state and input moving horizon estimation for nonlinear systems
3. Shyam Kamal, Eram Taslima, Vinay Pandey, Bijnan Bandyopadhyay and Sorin Olaru, Discrete-Time control with application to coupled tank system: a ceiling function approach
4. Songlin Yang, Sorin Olaru, and René Lozi, Safe yet chaotic control of linear planar systems via parametric convex optimization

Sanyi Tang is a distinguished professor and doctoral advisor at Shanxi University. He received his Ph.D. from the Institute of Mathematics, Chinese Academy of Sciences, in 2003. From 2003 to 2007, he conducted research on gene regulatory network reconstruction at the University of Warwick, UK. His current research focuses on mathematical biology and biostatistics. He has published over 130 papers, which have been cited more than 10,000 times. He has completed or led eight National Natural Science Foundation projects in the fields of mathematics, information, medicine, and interdisciplinary research. He has been invited to attend the International Conference on Mathematical Biology four times and delivered special invited talks.

Yuanshun Tan  is a professor and doctoral advisor at Chongqing Jiaotong University. He received his Ph.D. from Nanjing Normal University in 2005. From 2006 to 2008, he worked at the Postdoctoral Station of Applied Mathematics at Dalian University of Technology. His research focuses on the theory and application of differential equations, and the establishment and analysis of biological mathematical models. His research findings have been published in Journal of Mathematical Biology, Applied Mathematical Modelling, and Nonlinear Dynamics. He is leading a General Program funded by the National Natural Science Foundation of China, and is a co-applicant of the Fund for Less Developed Regions supported by the National Natural Science Foundation of China.

Xianghong Zhang is an Associate Professor at Southwest University. She received her Ph.D. from Shaanxi Normal University in June 2017 supervised by Prof. Sanyi Tang, followed by two years of postdoctoral research at York University, Canada, working with Prof. Huaiping Zhu. Her research focuses on the use of (non-smooth) dynamical systems in infectious disease and pest control. Dr. Zhang has been honored with the Shaanxi Outstanding Doctoral Dissertation Award, High-Level Talent IV in Chongqing. She has led both the General and Young Programs of China's National Natural Science Foundation etc. She has published over 20 papers in journals such as J. Math. Biol., J. Dyn. Differ. Equ., Bull. Math. Biol., Math. Biosci., J. Theor. Biol.

Abstract: Impulsive dynamical systems are non-smooth hybrid systems formed by coupling continuous differential dynamics with discrete events, with applications in integrated pest management (IPM), oncology, and beyond. These systems naturally model threshold-based control strategies (e.g., pest economic injury levels or tumor size thresholds), yet their non-smooth nature poses significant analytical challenges. This session convenes researchers to advance qualitative theory and methodologies for impulsive dynamical systems, with emphasis on:

    1. General Analytical Frameworks:

• Single-parameter Poincaré map techniques for discrete dynamical systems
• Qualitative analysis of order-1 periodic solutions (existence, global stability, bifurcations)

    2. Modeling hydra effect and Applications

• Fundamental principles linking impulsive to discrete systems
• Ecological applications, including hydra effects

By integrating theoretical innovation and applied research, we aim to bridge mathematical rigor with biological complexity.

Speakers (continually updating)

1. Sanyi Tang, Universal Discrete Model and Data Analysis of Hormetic Effects, Shanxi University
   
2. Changcheng Xiang, Discrete Switching Population Models and Its Application, Hubei Minzu University
3. Xianghong Zhang, Modeling the spread of Wolbachia in mosquitoes with birth-pulse and insecticide impulsive spraying, Southwest University
   
4. Qianqian Zhang, Rich dynamics of a predator-prey system with state-dependent impulsive controls switching between two means, Shaanxi Normal University
   
5. Huichao Yang, Data-driven discrete models for wStri spread in Nilaparvata lugens, Guangzhou University
6. Zhongcai Zhu, Periodic Switching and Beverton-Holt Survival: A New Perspective on Mosquito Suppression Models

Dr. Yongzhen Pei is currently a full professor of Tiangong University of P.R. China and is now serving as the vice director of the school of science at Tiangong University, the executive committee member of the biomathematics professional committee of the Chinese Mathematical Society, and vice president of the Tianjin Society of Industrial and Applied Mathematics. Dr. Pei awarded the title of “Outstanding Teacher in Tianjin” and selected for the “Tianjin Higher Education Leading Talent Training Program”. Dr. Pei is the author of more than 100 refereed publications in high profile journals including more than 70 indexed by SCI. Dr. Pei establishes well-funded research programs (including 6 grants from National Natural Science Foundation of P.R. China) in the area of nonlinear dynamical systems, mathematical biology and optimal control of hybrid systems. Dr. Pei's research is motivated by both pure mathematics and mathematical applications in bioscience and currently focuses on machine learning, optimization and control, gene regulation and biological control etc.

Dr. Lei Wang is currently a full professor of Xinjiang Medical University of P.R. China. Dr. Wang's research focuses on the infectious disease dynamical models, population dynamical models, and statistical modeling and applications in cancer. Dr. Wang is the author of more than 50 refereed publications in high profile journals such as Journal of Mathematics Biology, Discrete and Continuous Dynamical Systems-Series B etc.. Dr. Wang hosted and completed two grants from National Natural Science Foundation of P. R. China, two projects from Natural Science Foundation of Xinjiang, and one project from Top-notch Talents of Technological Youth of Xinjiang. Dr. Wang was selected as an outstanding young talent of the Tianshan Youth program in Xinjiang in 2018, and she was included in the second-tier talent program of the Tianshan Talent Project in the Xinjiang in 2021.

Dr. Xiaomei Feng is currently a full professor of Xi'An University of Science and Technology of P.R. China and is now the member of the Chinese Society of Mathematical Biology. Dr. Feng is the author of more than 40 refereed publications in high profile journals such as J. Differential Equations, Journal of Mathematics Biology, Discrete and Continuous Dynamical Systems-Series B etc.. Dr. Feng establishes two grants from National Natural Science Foundation of P.R. China, one grant from China Postdoctoral General Fund project, as well as multiple provincial-level projects in the area of mathematical biology. Dr. Feng's research is motivated by both mathematical applications in bioscience and currently focuses on dynamical modeling of vector-borne infectious diseases (e.g., malaria,,denge,chikungunya, schistosomiasis.)

Abstract: Data, stochastic events, plant population dynamics and gene regulatory interactions all unfold in inherently discrete units, whether as time‐stepped observations, individual transmission events, or multi‐state genetic expressions. Discrete dynamical systems therefore offer a natural and powerful framework for modeling, analyzing, and interpreting these phenomena, seamlessly aligning mathematical structure with the granular nature of real‐world datasets.

This special session invites original contributions on the theory, computation, and application of discrete‐time and stochastic dynamical models in ecological and epidemiological contexts. Topics include, but are not limited to: Discrete data‐driven modeling; Stochastic differential equation models; Gene regulatory network dynamics; Parameter inference and calibration; Uncertainty quantification; Eco‐epidemiological applications.

We encourage researchers across mathematics, biology, and data science to join us in showcasing how discrete dynamical methodologies can yield new insights into complex, data‐rich ecological and epidemiological systems.

Speakers (continually updating)

1. Chen Jia, Stochastic dynamics of complex gene regulatory networks, Beijing Computational Science Research Center
2. Shi Zhao, Multi‐strain infectious disease transmission model and estimation of transmission advantage, Tianjin Medical University
3. Juan Zhang, The research on the purification of brucellosis in dairy farm based on stochastic model, Shanxi University
4. Lei Wang, Statistical and dynamical modeling of Tuberculosis transmission in Xinjiang, Xinjiang Medical Universiy
5. Buyu Wen, The dynamics and density function of a stochastic SEIW brucellosis model with Ornstein‐Uhlenbeck process, Liaodong University
6. Hongpeng Guo, to be announced

Jifa Jiang is a professor at Henan Normal University and an outstanding expert recognized by the State Human Resource Ministry. He has served at the University of Science and Technology of China and Tongji University. Jiang won the second prize of the Science and Technology Progress Award of Anhui Province in 1993 and the second prize of Shanghai Natural Science Award in 2017. Jiang introduced monotone dynamical systems to China and is a leading academic leader in this field. His research has been published in journals such as Crelle’s Journal, Journal de Mathématiques Pures et Appliquées (JMPA), and SIAM Journal on Mathematical Analysis (SIMA). He is currently researching stochastic dynamical systems. Since 1993, he has led general projects of the National Natural Science Foundation of China and participated in two key projects. Jiang also has been consecutively honored as an Outstanding Graduate Student Supervisor by the Chinese Academy of Sciences from 2004 to 2006. His doctoral graduates have achieved remarkable honors, including one recipient of the National Science Fund for Distinguished Young Scholars, one Young Yangtze River Scholar and top talent, and two winners of the National Excellent Doctoral Dissertation Award.

Zhipeng Qiu is a professor at Nanjing University of Science and Technology (NJUST). He obtained his Bachelor's and Master's degrees from Southwest University in 1996 and 1999, respectively, under Professor Wendi Wang. He joined NJUST in 1999 and earned his Ph.D. from its School of Automation in 2003. He then did postdoctoral research at the University of Science and Technology of China (USTC) under Professor Jifa Jiang from July 2003 to July 2005. He has been a visiting scholar at Purdue University, York University in Canada, and made short-term visits to universities in Italy, Canada, and the United States. His research interests include ordinary differential equations, dynamical systems and biomathematics. He has led four National Natural Science Foundation of China projects. His work has been published in journals such as Bull. Math. Biol., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol. and J. Differential Equations.

Dun Zhou is a professor at Nanjing University of Science and Technology (NJUST). He obtained his bachelor's degree in science from Changchun University of Science and Technology in June 2008 and a Ph.D. in Science from the University of Science and Technology of China (USTC) in June 2015, focusing on differential equations and dynamical systems. He completed postdoctoral research at USTC from July 2015 to June 2017. He visited Auburn University from November 2019 to November 2020. His research interests include monotone and infinite-dimensional dynamical systems, non-autonomous systems, and stochastic perturbations. He has led projects like the general project of the China Postdoctoral Science Foundation and the National Natural Science Foundation of China for young scientists, and participated in key projects of the National Natural Science Foundation of China. His research findings have been published in journals such as J. Differential Equations, SCIENTIA SINICA Mathematica, J. Math. Biol., J. Dyn. Diff. Eqns, and Proc. Amer. Math. Soc.

Abstract: In the real world, stochastic perturbations are ever-present and omnipresent, often having a significant impact on the dynamic behavior of various systems. Difference and differential equations, as essential mathematical tools for describing the evolution of systems, may exhibit complex dynamical behaviors under stochastic perturbations, such as multiscale dynamical behaviors. Over the past few decades, the study of these complex dynamical behaviors, especially multiscale dynamics, has received extensive attention. The in-depth exploration of this field will enrich our understanding of complex systems.

The main topics of the session will focus on the multiscale dynamical behavior of difference and differential equations under stochastic perturbations. It will also address key dynamical features of the theoretical models of these equations under the impact of stochastic perturbations, such as stability, bifurcations, metastability and chaos, as well as properties of solutions including ergodicity and large deviations. Through the communication at the session, we hope to promote further development in related theories, methods, and applied research, thus providing a theoretical foundation for our in-depth understanding of complex phenomena.

Speakers (continually updating)

1. Jifa Jiang, Extinction and quasi-stationarity for discrete-time SIS and SIR models, Henan Normal University
2. Xiaopeng Chen, Positivity-preserving Numerical Algorithms for Stochastic Differential Equations Driven by Fractional Brownian Motion, Shantou University
3. Zhipeng Qiu, Transient dynamics of seed dispersal mutualism system under demographic and environmental stochasticity, Nanjing University of Science and Technology
4. Xi Sheng, Stochastic Stability of Monotone Dynamical Systems: The Irreducible Cooperative Systems, University of Science and Technology of China

Dongmei Xiao, female, is a professor. Academic Background: She earned a Ph.D. in Mathematics from Peking University in 1991 and conducted postdoctoral research at the University of California, Berkeley, from 1995 to 1996. Research Interests: Her work focuses on the qualitative theory of differential equations, bifurcation theory, and mathematical biology. Major Contributions: She has published dozens of papers in prestigious domestic and international academic journals. She has successfully secured and led several NSFC Key Projects and General NSFC Projects.

Zhaoquan Xu, male, graduated with a Ph.D. from Shanghai Jiao Tong University, is a professor and doctoral supervisor. His main research areas include the theory of differential equations and their applications. He has published some interesting research results in international  prestigious journals of this field, including Nonlinearity,  J. Differential Equations,    J. Dynam. Differ. Equations,  Differential Integral Equations,  Discrete Continuous Dynamical Systems-A,  Proceeding of American Mathematical Society,  Proceeding of Royal Society of Edinburgh-A,  European Journal of Applied Mathematics, Journal of Mathematical Physics  etc. He has been approved to host several national and provincial research projects.

Abstract: Lattice dynamical systems are an important type of discrete systems, which can be found in many applications, such as materials science, pattern formation, neural networks and population biology. In this session, we are dedicated to advancing the development of lattice dynamical systems theories and their applications by gathering researchers in this field to present the latest research findings. As an important type of discrete systems, lattice dynamical systems offer richer dynamics compared to traditional continuous systems. This session aims to assemble researchers specializing in lattice dynamical systems to demonstrate cutting-edge research in this area, including theories on traveling wave solutions, solitons,  asymptotic behaviors, etc. 

Speakers (continually updating)

1. Liyuan Ma, Continuum limits of the generalized discrete nonlinear Schrodinger equation and gauge equivalent model, Zhejiang University of Technology
2. Chufen Wu, Epidemic waves for a diffusive two-group model with  double nonlocal effects  in  lattice, Foshan University
3. Jia-Bing Wang, Dynamics of impulsive nonlocal diffusive systems in shifting environments, China University of Geosciences
4. Xiao Yu, Bistable pulsating waves for a stage-structured species in periodic discrete habitat, South China Normal University
5. Yuzhou Tian, New dynamical and algebraic results on the real Jacobian conjecture, Jinan University

Chuncheng Wang is a professor at School of Mathematics, Harbin Institute of Technology. The research interests include: differential equations and dynamical systems, and its applications on ecology and epidemiology.

Weihua Jiang is a professor at School of Mathematics, Harbin Institute of Technology, mainly working on the (partial) functional differential equations, especially on the normal form theory and its applications for finding the complex patterns for these systems.

Junjie Wei is a professor at School of Mathematics, Harbin Institute of Technology. The research interests include such topics as: delay differential equations, reaction diffusion equations, and their applications.

Abstract: In this session, we focus on the qualitative and bifurcation theory on difference or differential equations, and their applications, especially on the joint effect of diffusion, time delay and nonlocality on the dynamics behavior of these systems. The background of such equations mainly comes from the ecology, population dynamics and epidemiology. The complicated spatio-temporal dynamics and new patterns will be explained by the theoretical outcomes of these models.

Speakers (continually updating)

1. Weihua Jiang, Double-Hopf Bifurcation of Diffusive Holling-Tanner Predator-Prey Model, Harbin Institute of Technology
2. Chuncheng Wang, Eigenvalue problems of difference equation and its applications, Harbin Institute of Technology
3. Xun Cao, Equivariant Hopf bifurcation and rotating waves/periodic oscillations of nonlocal reaction-diffusion delayed equations on 2D square domain, Harbin Institute of Technology
4. Yifei Li, Lattice-based stochastic models motivate non-linear diffusion descriptions of memory based dispersal, Harbin Institute of Technology
5. Yingli Pan, TBD, Renmin University of China

Dr. Shanbing Li primarily focuses on the research of differential equations and dynamical systems, with particular attention to bifurcation theory of reaction-diffusion systems and their applications. He has completed multiple research projects, including the National Science Foundation of China, the Postdoctoral Science Foundation of China, and National Science Foundation in Shaanxi Province of China. Currently, he is conducting a project funded by the National Science Foundation of China and a project supported by the National Science Foundation in Shaanxi Province of China. He has published over thirty articles in journals such as SIMA Journal of Mathematical Analysis, Israel Journal of Mathematics, Nonlinearity, Journal of Differential Equations.

Abstract: Mathematical modeling—whether through discrete or continuous dynamical systems—has emerged as a powerful framework for systematically analyzing complex phenomena. A deep understanding of their dynamics not only offers rigorous insights into self-organization principles in nature but also lays critical theoretical foundations for applied challenges, from epidemic forecasting to ecological resilience. This special session will present the latest research advances in difference and/or differential equations, covering a wide range of theoretical developments, computational methodologies, and interdisciplinary applications. Experts in the field will discuss cutting-edge topics such as pattern formation, wave propagation, and stability analysis, as well as emerging applications in ecology.

Speakers (continually updating)

1. Yanqiu Li, Dynamics of a diffusive Leslie-Gower model with both-density-dependent fear effect,  Shanghai Institute of Technology
2. Rui Li, Dynamical analysis for a reaction diffusion model, Shenzhen Technology University
3. Siyu Liu, Derivation of Field-Road models by effective boundary condition method, Northeastern University

Wenmeng Zhang is a Professor at the School of Mathematical Sciences, Chongqing Normal University. He obtained the doctoral degrees from the University of Zielona Góra (Poland) and Sichuan University in 2011 and 2012, respectively. His specific research focuses on differential equations and dynamical systems. Making a series of achievements in the problems such as smooth linearization and invariant manifolds, his works have been published in mathematical journals including Advances in Mathematics, Mathematische Annalen, Transactions of the American Mathematical Society, Proceedings of the London Mathematical Society, and Journal of Functional Analysis.

Liu Liu is an associate Professor at Southwest Jiaotong University, where she has been contributing since 2014. She earned her Ph.D. in Applied Mathematics from Sichuan University under the mentorship of Prof. Weinian Zhang, specializing in differential equations and dynamical systems, following an M.Sc. in Pure Mathematics and a B.Sc. from the university’s elite Mathematics Talent Training Base. Her academic journey includes postdoctoral research at the Chinese Academy of Sciences, where she explored complex map iterations with Profs. Yuefei Wang and Jinsong Liu, and a visiting scholarship at University of Zielona Gora (Poland). Dr. Liu’s research focuses on discrete dynamical systems, particularly iterative roots and functional equations, with 20 publications in prestigious journals. She was honored with the 2017 ISFE Medal for contributions to functional equations.

Abstract: This session explores recent advances in iteration theory for difference equations. It focuses on the interplay between theoretical rigor and practical applications in dynamical systems and applied mathematics. Key topics include:

Iterative Roots: Solving fundamental problems like their existence, uniqueness, and structure within difference equations.

Dynamics & Stability: Analyzing stability of fixed points, bifurcation behaviors, periodic solutions, and chaotic attractors in discrete models relevant to ecology, economics, and networks.

Innovative Algorithms: Showcasing iterative methods for optimization, signal processing, bio-rhythm modeling, and control systems.

The session delves into how iterative methods reveal nonlinear dynamics and evolutionary patterns. By fostering dialogue among researchers in difference equations, iteration theory, dynamical systems, and applied fields, it aims to catalyze breakthroughs in understanding complex nonlinear systems and develop new methodologies, highlighting the synergy between theory and innovation.

Speakers (continually updating)

1. Krzysztof Cieplinski,  TBD, AGH University of Science and Technology
2. Liu Liu, TBD, Southwest Jiaotong University
3. Lin Li, TBD, Jiaxing University
4. Janusz Morawiec, TBD, University of Silesia in Katowice

Dr. Xianyi Li is currently a full professor of mathematics at Zhejiang University of Science and Technology(ZUST) in P. R. China starting in 2016 and is now serving as the director of Institute of Nonlinear Analysis in ZUST. Dr. Li received his BS in mathematical statistics, MS and PhD in applied mathematics from East China Normal University in 1989, 2001 and 2004, respectively. Dr. Li is the author of more than 130 refereed publications in high profile journals. Dr. Li is a supervisor of more than 30 ?ℎ? dissertations and Master thesis, and obtains more than 20 academic awards and teaching awards. Dr. Li has been in charged of 20+ scientific research programs (including 4 grants from National Natural Science Foundation of P R China) in the area of nonlinear dynamical systems and mathematical modeling. Dr. Li’s research interest is mainly focused on the stability and bifurcation problems in ordinary differential equations and dynamical systems. Dr. Li presently is a distinguished professor of “Qiangjiang Scholar” in Zhejiang Province, and serves as the editor, and associate editor of several international journals.

Dr. Xiaoling Han is currently a professor and PhD supervisor at the College of Mathematics and Statistics, Northwest Normal University. Dr Han received her B.S. and Ph.D. degrees in Pure Mathematics from Northwest Normal University in 2001 and 2008, respectively. She has published more than 40 papers in renowned academic journals. Dr. Han is now leading a Regional Project supported by the National Natural Science Foundation of China. Dr. Mingshu Peng is currently a full professor of mathematics starting in 2008. Dr. Peng received his MS and PhD in applied mathematics from Hunan University in 1997 and Beijing Institute of Technology in 2000, respectively and a postdoctoral research at Beijing Normal University during 2000-2002, and acted as a visiting professor of Memorial University of Newfoundland and York University (Canada) during 2005.06-2006.5. Dr. Peng’s research focuses on differential equations; bifurcation and chaos of nonlinear dynamical system; complex networks; fractaldynamics and numerical methods etc. He has published nearly 50 papers in high profile journals and received a lot of research support from National Natural Science Foundation of P R China and others grants.

Dr. Zunxian Li is currently an associate professor and master’s supervisor in the Department of Mathematics at Tianjin University of Technology. His research focuses on the dynamical behaviors of lattice differential equations and spatially discrete reaction-diffusion equations, with specific interests in traveling wave solutions, Turing instability and Hopf bifurcation. He has published numerous papers in internationally renowned journals such as Nonlinear Dynamics, Nonlinear Analysis: Real World Applications, IEEE Transactions on Neural Networks and Learning Systems, Applied Mathematics and Computation, Applied Mathematics Letters, and Advances in Mathematics (China). Additionally, he serves as a reviewer for several prestigious journals, including Nonlinear Analysis: Real World Applications, Chaos, Solitons & Fractals, International Journal of Biomathematics, and Discrete Dynamics in Nature and Society.

Jie Liu is currently a Lecturer at the Department of Mathematics, Harbin Institute of Technology, Weihai. J. Liu’s research work primarily concentrates on problems related to the global stability of differential equations, with a specific focus on dynamical behavior of competition models in river patch environments. These studies have been published in journals including SIAM J. Appl. Dyn. Syst., J. Differential Equations, Stud. Appl. Math., and Z. Angew. Math. Phys

Abstract: This special session aims to unite researchers worldwide to explore recent advances in discrete dynamical modeling within biological, ecological contexts and engineering, etc. Contributions are expected to highlight innovative applications of discrete models to applied questions, bridging theoretical developments with real world phenomena.

This special session welcomes talks that clearly articulate the real context, present theoretical or numerical analyses, and discuss the implications of mathematical insights for real understanding. Topics of interest include, but are not limited to: population dynamics, community interactions, ecosystem processes, spatial and behavioral ecology, biological evolutionary dynamics, conservation strategies, eco- epidemiology, chaotic and complex systems, and stochastic discrete models. This special session encourages interdisciplinary dialogue and is intended for a broad audience at the intersection of mathematics and real applications.

Speakers (continually updating)

1. Xianyi Li, Recent advance on some "Open Problems and Conjectures",  Zhejiang University of Science and Technology
2. Xiaoling Han, Bifurcation and Pattern Analysis in Discrete Predator-Prey Models,  Northwest Normal University
3. Mingshu Peng,  A study of chaotic behavior in some classic ecology models, Beijing Jiaotong University
4. Zunxian Li, Hopf bifurcation of a spatially discrete reaction-diffusion equations with two components, Tianjin University of Technology
5. Jie Liu, Global dynamics in a two-species competition patch model, Harbin Institute of Technology
6. Hongxu Li,  Spatial homogeneity of stable solutions for almost periodic parabolic equations , Sichuan University

Yuming Chen, Full Professor at the Department of Mathematics, Wilfrid Laurier University. His research interests include dynamical systems, functional differential equations, and mathematical biology. His research is supported continuously by the Natural Sciences and Engineering Research Council of Canada. So far, he has published more than 200 papers on journals including prestigious ones such as SIAM Journal on Mathematical Analysis, SIAM Journal on Applied Mathematics, Transactions on the American Mathematical Society, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the American Mathematical Society, Mathematical Biosciences, and so on.

Genghong Lin- Associate professor at the School of Mathematics and Information Science, Guangzhou University. G. Lin’s research work focus on the theoretical and applied research of functional differential equations and difference equations. He has published more than 20 high-level scientific research papers, and has successively presided over the general project and youth project of National Natural Science Foundation of China and the general project of Natural Science Foundations ofGuangdong Province.

Yuhua Long- Professor at the School of Mathematics and Information Science, Guangzhou University. Y. Long’s Research work focus on the qualitative and stability theories of differential equations and difference equations, as well as their applications in biomathematics. She has published over 50 high-level scientific research papers, and has presided over two projects funded by the National Natural Science Foundation of China and participated in multiple scientific research projects.

Zhan Zhou- Professor at the School of Mathematics and Information Science, Guangzhou University. Z. Zhou’s research work focused on the theoretical and applied research of functional differential equations and difference equations. He has successively presided over two innovated team development plans, seven projects funded by the National Natural Science Foundation of China, and multiple research projects including the Ministry of Education's Outstanding Young Teacher Support Program. He has published over 100 high-level scientific research papers, and has won the First Prize of Natural Science of Guangdong Province and the First Prize of Science and Technology Progress of Hunan Province.

Abstract: The models and theories of nonlinear discrete systems have played a crucial role in multiple scientific fields such as economics, computer science, biology, and neural networks. This special session aims to bring together researchers worldwide to explore cutting-edge developments in models and theories of nonlinear discrete systems. We seek contributions of advancing theoretical frameworks for nonlinear discrete systems and developing innovative applications. Potential topics of interest include qualitative analysis, bifurcation theory, population dynamics and infectious diseases.

Speakers (continually updating)

1. Yuming Chen, Stability and bifurcation of a discrete predator-prey system with Allee effect and other food resource for the predator, Wilfrid Laurier University
2. Yining Chen, Evaluating the intensity of a potential yellow fever outbreak during an international trading event: a case study on Canton Fair, Guangdong Polytechnic Normal University
3. Yu Gu, Non-constant periodic solutions of the Ricker model with periodic parameters, Xiangnan University
4. Xiaofeng Pang, Dynamics of Discrete Predator-Prey Model with Prey Harvesting, Guangzhou University
5. Feng Xiong, Positive solutions of partial discrete Kirchhoff type problems, Guangxi Normal University
6. Shaohong Wang, to be announced

Fengying Wei currently serves as a professor of Fuzhou University and the Co-chair of Fujian Society of Mathematical Biology. She obtained her Ph.D. in 2006 from Northeast Normal University. She took the role of PI in three projects from NSFC and six projects from Fujian Province, the role of Co-PI in three consultancy projects from CAS, and the role of Co-author of two textbooks at Higher Education Press of China. Her research interests currently focus on the hidden-transmission dynamics of the key blood-borne infectious diseases and their mechanisms. The majority of her publications mainly contribute on the complicated transmission dynamics of epidemic models and the stability of delayed differential equations.

Weiwei Ding serves as a professor of South China Normal University. He obtained his Ph.D. in 2015 from the University of Science and Technology of China and Aix-Marseille University. He subsequently conducted postdoctoral research at the University of New England, the University of Tokyo, and Meiji University. His research focuses on the spatio-temporal dynamics and propagation phenomena of parabolic equations. His work has been published in prestigious journals such as Adv. Math.、Math. Ann.、JMPA、JFA、IUMJ、AIHP-AN. Currently, he leads a NSFC General Program and an Outstanding Youth Project of Guangdong Province.

Abstract: The complicated dynamics of the epidemic models have been investigated recently in the applied mathematics that the hidden transmission mechanisms are explored with their complicated interactions. Particularly, the applications in the real circumstances and their predictions in high-dimensional dynamics make sense for  the policy makers of the local government. The key of the epidemic models is figuring out the core interactions during the transmission mechanisms.The main difficulty in the field is short of the exploration of the hidden transmission. This session will bring the recent investigations on the hidden transmission of epidemic models and their advances in applications for the district infectious diseases. 

Speakers (continually updating)

1. Zhigui Lin, The stopping time and the spatial-temporal risk index in the epidemic model, Yangzhou University
2. Fengying Wei, Dynamical analysis and tendency prediction of HCV hidden-transmission models with protection awareness, Fuzhou University
3. Weiwei Ding, Time periodic traveling waves for multi-stable monotone semiflows and application to fractional diffusion equations, South China Normal University
4. Ruibin Jiang, Dynamics of discrete Ricker models on mosquito population suppression, Guangzhou University

Dr. Yu Zhao is currently a professor at Ningxia Medical University. He has selected for the Northwest light talent training program. His research interests are dynamical modeling and statistical inference of metabolic diseases or infectious diseases. More than 40 papers have been published in journals of biomathematics and public health, such as Bulletin of Mathematical Biology, Journal of Theoretical Biology, Mathematical Biosciences, Environmental Research, BMC Public Health.  He is PI of 10 research funding projects, including 2 research funding projects of NSFC.

Dr. Shi Zhao is currently a professor at Tianjin Medical University. His research interest is infectious disease dynamics. He has published a series of infectious disease modelling papers with an h-index of 40, some of which were reported by the Centre for Disease Control and Prevention of China, and the US. He is PI of 3 national-level research funding projects, including NSFC, and Young Elite Scientists Sponsorship Program by CAST. He is an editor board member of the journal “Infectious Disease Modelling”.

Dr. Kang Ting, associate professor, is a young outstanding talent in Ningxia Hui Autonomous Region. The main research fields are epidemic modeling and control, mathematical theory of ecological restoration, and numerical calculation of stochastic differential equations. More than 20 papers have been published in SCI journals, such as Applied Mathematics and Computation, Chaos Solitons and Fractals, Discrete and Continuous Dynamical - Systems Series B, International Journal Biomathematics. Five projects at or above the provincial or ministerial level have presided over and completed, and two projects at or above the provincial or ministerial level are currently leading.

Abstract: The dynamics of cross-species transmission, spatial heterogeneity, and the emerging risks of zoonotic diseases’ spillover fundamentally exhibit discrete dynamical characteristics. Monitoring data at specified time intervals, contact networks at the individual level, discrete states of genetic variations, and threshold-driven control strategies all necessitate mathematical foundations provided by discrete and stochastic dynamical systems.

In this session, we focus on advancing the study of difference equations, discrete event models, and stochastic methods within the context of transmission dynamics, multi-host interactions, pathogen evolution, and optimization of control measures, aiming to bridge the gap between theoretical models and practical applications of real-world data.

This session convenes researchers to advance qualitative theory, statistical methodologies and applications for zoonotic diseases, with emphasis on:

1. Discrete data-driven modelling.

2. Quantification of randomness and uncertainty

3. Interdisciplinary integration application.

Speakers (continually updating)

1. Boqiang Cao, Two-stage modeling of the transmission dynamics of brucellosis in sheep and its control, Ningxia University
2. Xin Pei, Risk assessment of foot-and-mouth disease transmission based on network dynamics model, Taiyuan University of Technology
3. Wenjuan Guo, Finite-time stability of Wolbachia driven mosquitoes based on stochastic differential equations with time varying delay, Guangzhou University
4. Zihao Guo, Public health impact and cost-effectiveness analysis of respiratory syncytial virus immunisation strategies in Hong Kong, Chinese University of Hong Kong
5. Ting Kang, A two-stage sheep brucellosis transmission dynamic model in a patchy environment: Stability analysis and optimization of transportation scheme, Ningxia University
6. Qianqian Cui, Optimal control and cost-effectiveness of cystic echinococcosis dynamical model: A case study in Baiyin, Ningxia University
7. Jun Yang, Precise control of brucellosis in sheep: dynamic modeling and analysis based on gender and size, Ningxia University

Zhang Juping, Professor, mainly focuses on the transmission mechanism and mathematical analysis of infectious diseases on complex networks.

Cao Hui, Professor, mainly focuses on the discrete dynamical system and the application of the discrete dynamical system in Tuberculosis.

Zhang Suxia, Professor, mainly focuses on developing and analyzing mathematical models for complex dynamics of epidemic and non-linear biological systems based on ordinary or partial differential equations, and difference equations.

Abstract: In this session, we will focus on introducing discontinuous dynamic systems based on different infectious disease mechanisms by combining researchers in this field, and try to introduce the latest theoretical analysis methods and main conclusions about discontinuous dynamic systems, aiming to explore the important role of discontinuous dynamic systems in the study of various infectious diseases. The discontinuous dynamical systems involved include discrete dynamical systems, switching systems, and pulse differential systems

Speakers (continually updating)

1. Hui Cao, The Application of Discrete Dynamical Systems in Tuberculosis, Shaanxi University of Science ans Technology
2. Aili Wang,  The role of switching systems in the study of infectious disease mechanisms, Xi’an University of Technology
3. ShanShan Feng, Modeling and analysis of the transmission dynamics in metapopulation networks incorporating individual contact heterogeneity，North University of China
4. Yuzhi Liu, TBD
5. Hong Yang, TBD
6. Sha He, TBD

Jifeng Chu, Full professor working in College of Mathematics, Hangzhou Normal University. He received the PhD degree from Tsinghua University in 2008. He focuses on the study of dynamical behaviors for linear and nonlinear differential/difference equations, including Lyapunov stability of conservative systems, sharp bounds for eigenvalues of ordinary differential operators, nonuniform dichotomy and nonuniform Sacker-Sell spectrum, and dynamics of oceanic water waves. He has published more than 90 papers in international mathematical journals. He has been awarded Euler Prize in Applied Mathematics by Swiss Federal Department of Education and Research in 2007, and Humboldt Research Fellowship in 2013.  

Shimin Li received his Ph.D. in Mathematics from Sun Yat-sen University in 2013. Currently serving as a professor at Hangzhou Normal University, his research specializes in the qualitative theory of differential systems and their applications. His recent work primarily focuses on bifurcation theory in both piecewise smooth differential systems and singularly perturbed differential systems. For his significant contributions to dynamical systems theory, Professor Li was awarded the Second Prize of the Guangdong Natural Science Award.

Abstract: This session is devoted to some recent results on dynamics of difference equations and/or differential equations, including the nonuniform dichotomy and nonuniform Sacker-Sell spectrum for difference equations, exact solutions for geophysical flows in spherical coordinates, bifurcation theory of piecewise smooth differential equations. Contributions focusing on real-world applications or related theoretical developments are also especially welcome.

Speakers (continually updating)

1. Jifeng Chu, Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations, Hangzhou Normal University
2. Shimin Li, On the index of singular points for planar piecewise smooth differential systems: Theory and Applications, Hangzhou Normal University
3. Haihua Liang, Bifurcation of limit cycles in a class of piecewise smooth generalized abel equations with two asymmetric zones，Guangdong Polytechnic Normal University
4. Xun Wang, Existence of large amplitude irrotational equatorial waves with flow force function, University of Shanghai for Science and Technology
5. Jianfeng Huang, A new Chebyshev criterion and its application to differential systems, Jinan University

Yantao Shi, Master’s supervisor at Foshan University. Her main research focuses on population dynamics, difference equations and biomathematics. She particularly emphasis on the theory of applied mathematics and its application in controlling mosquito-borne diseases. She has published several papers in international SCI journals such as Discrete Cont. Dyn.-B, J. Biol. Dyn., J. Differ. Equ. Appl. She presides over one project of the National Natural Science Foundation of China. 

Chufen Wu, professor, has published more than 30 academic papers in well-known international journals, among which 1 is an ESI hot paper and highly cited paper. She has once presided over 3 projects of the National Natural Science Foundation of China and 3 provincial and ministerial projects. She has won the first prize of the “14th China General Chamber of Commerce Service Industry Science and Technology Innovation Award” honors.

Dawei Zhang, associate professor and Master’s supervisor at Foshan university. His research focuses on differential equations and dynamical systems, with particular emphasis on the qualitative theory and applications of reaction-diffusion equations and difference equations. He has published over 20 papers in internationally renowned SCI journals, including the Journal of Geometric Analysis, Studies in Applied Mathematics, and the Proceedings of the American Mathematical Society. He was supported by the national natural Science foundation of China and the Guangdong basic and applied basic research foundation.

Jianshe Yu, professor, director of the Guangzhou Center for Applied Mathematics. He has presided over more than 10 projects of the National Natural Science Foundation of China, including 4 Key Projects and 2 Special Projects of mathematical interdisciplinary research platforms. In the past ten years, he dedicated himself to the theoretical research of applied mathematics and its application in gene expression, prevention and control of mosquito-borne diseases, etc. He has published more than 100 papers in NATURE, PLoS Computational Biol., J. Diff. Equations, J. London Math. Soc., J. Dyna. Diff. Equas., SIAM J. Appl. Math., SIAM J. Math. Anal., J. Math. Biol., J. Theo. Biol., Math. Biosciences, Bull. Math. Biol., and so on.

Abstract: In this session, we offers a platform for researchers to share theoretical and applied advances in the stability and bifurcation of discrete biological dynamical systems. The focus is on providing key frameworks for modeling, analyzing, and interpreting complex dynamics driven by factors such as seasonal breeding, biocontrol stategies and stochastic processes. Researchers from mathematics, biology, computer science and related fields are cordially invited to share theories, methodologies and recent findings in difference/differential equations, population dynamics, spatiotemporal dynamics, stochastic dynamics and related topics.

Speakers (continually updating)

1. Deyu Kong, Comparative studies of Wolbachia spread dynamics in mosquito populations via discrete models, Guangzhou University. 
2. Qian Ding,Periodic Dynamics of a General Switching Dynamical System and Two Illustrating Examples, Hunan City University
3. Rong Yan, A stochastic mosquito population suppression model based on incomplete cytoplasmic incompatibility and time switching, Shanxi Normal University .
4. Yantao Shi, A discrete dynamical model on Wolbachia infection frequency with periodic releases, Foshan University.

Wang Zhi-Cheng, Professor and Doctoral Supervisor at the School of Mathematics and Statistics, Lanzhou University. His research areas include partial differential equations, dynamical systems, and biomathematics. He has published over 100 papers in journals such as TAMS, ARMA, JMPA, IUMJ, SIMA, SIAP, CVPDE, JDE, JDDE, and Nonlinearity. He was selected for the Ministry of Education's New Century Excellent Talents Support Program in 2010, and received the Gansu Provincial Natural Science Second Prize in 2011 and 2019. In 2016, he was appointed as a Distinguished Professor under the Gansu Province Feitian Scholar Program. He currently serves as an Associate Editor for International Journal of Bifurcation and Chaos and Mathematical Biosciences and Engineering (MBE).

Lin Guo , Professor at Lanzhou University. His main research focuses on the spatial propagation properties of discrete and continuous diffusion models. Using traveling wave solutions and propagation speed characterization, he investigates the long-term behavior of systems. He has contributed distinctively to the study of non-monotone models and developed various research methods for non-cooperative systems.

Wu Shi-Liang, Professor and Doctoral Supervisor at the School of Mathematics and Statistics, Xidian University; Leader of the Shaanxi Provincial Science and Technology Innovation Research Team; Council Member of the Chinese Mathematical Society. His research areas include differential equations, dynamical systems, and their applications. His research results have been published in JMPA, TAMS, SIMA, CVPDE, JDE, JMB, JDDE, JNS, and Nonlinearity. He has been awarded both the First and Second Prizes for Natural Science in Shaanxi Province. He currently serves on the Editorial Board of the International Journal of Biomathematics.

Abstract: Numerous nonlinear problems in physics, chemistry, biology, and engineering technology can be described by nonlinear evolution equations. The analysis of their dynamic behaviors has always been a fundamental issue in the fields of difference equations, differential equations, integral equations, dynamical systems, and their applications. This special session focuses primarily on the spatial dynamics of nonlinear evolution equations, covering recent advances in areas such as spatial propagation, bifurcation theory, long-term behavior of solutions, and free boundary problems.

Speakers (continually updating)

1. Weiwei Ding, Propagation Dynamics of Bistable Reaction-Diffusion Equations in Heterogeneous Environments, South China Normal University
2. Hongyong Wang, Forced waves to the Lotka-Volterra competition system in a shifting environment, Nanhua University
3. Hao Kang, The effects of age structure on principal eigenvalues of reaction-diffusion equations, Tianjin University
4. Weijian Bo, The approach of bounded solutions of degenerate equations to traveling wave solutions, Xidian University
5. Guo Lin, Inner spreading properties of several noncooperative integrodifference systems, Lanzhou University
6. Xuefeng San, TBD

Jiangong You, Chair Professor at the Chern Institute of Mathematics, Nankai University. His research focuses on mathematical physics and dynamical systems. He was invited to deliver a 45-minute lecture at the International Congress of Mathematicians (ICM 2018) and a one-hour plenary talk at the International Congress on Mathematical Physics (ICMP 2024). His honors include the TWAS Prize in Mathematics (The World Academy of Sciences), among other domestic and international awards.

Qi Zhou, Professor at Chern Institute of Mathematics, Nankai University, whose research focuses on dynamical systems and mathematical physics, with a primary specialization in the spectral theory of quasi-periodic Schrödinger operators. He has published numerous papers in prestigious journals such as Duke Mathematical Journal, Annales Scientifiques de l'École Normale Supérieure, Cambridge Journal of Mathematics, Mathematische Annalen, Advances in Mathematics, Physical Review Letters (PRL), Communications in Mathematical Physics (CMP), and Journal de Mathématiques Pures et Appliquées (JMPA).

Abstract: Quasiperiodic operators have been one of the central research areas since the late 1970s, when it was developed as a part of the general theory of ergodic operators. These theories were motivated by the studies of electron transport in various materials, such as crystals and quasicrystals, and serve as the theoretical underpinning of the Quantum Hall Effect, as well as other important physical phenomena. This session aims to facilitate academic discussions on the dynamics and spectral theory of quasiperiodic operators, covering topics such as Anderson localization, fractal related problems, KAM theory, and dynamics of cocycles with close connections to difference equations and discrete dynamical systems. This section will bring together leading experts and promising junior researchers with interests in the study of the effects of quasiperiodicity, or other stationary environments of physical interest, and contribute to a more profound comprehension of its implications in the context of quantum theory.

Speakers (continually updating)

1. Disheng Xu, Great Bay University, Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles
2. Hongyi Cao, Peking University, Anderson localization for discrete Schrödinger operators
3. Yunfeng Shi, Sichuan University, Extended states for random Schrödinger operators
4. Lingrui Ge, Peking University
5. Ao Cai, Soochow University, Abstract continuity theorem for Lyapunov exponents of linear cocycles

Jinzhi Lei, Jinzhi Lei holds a PhD degree from Beihang University and currently serves as a professor at the School of Mathematical Science at Tiangong University. His research interests primarily revolve around exploring the mathematical formulations and underlying mechanisms of biological behaviors, with a focus on applied mathematics, computational systems biology, and bioinformatics.

Yunfei Lv, holds a PhD degree from Beijing Normal University and currently serves as a professor at the School of Mathematical Science at Tiangong University. His research interests primarily include theory and applications of periodic differential equations, state-dependent delay differential equations, age/size-structured model, hybrid biodynamical system, and so on.

Qihua Huang, received his PhD from University of Louisiana at Lafayette, USA, in 2011. He then worked as a postdoctoral fellow at University of Alberta, Canada, from 2011 to 2016. Since 2016, he has been a professor at Southwest University in China. His research interests include deterministic and stochastic age/size-structured population dynamics, population spread and invasive species, pattern formation, river dynamics, and environmental toxicology. He currently serves as an associate editor for Mathematical Biosciences.

Lai Zhang, is a Professor and Doctoral Supervisor at the School of Mathematical Sciences, Yangzhou University. He earned his Bachelor’s and Master’s degrees from Yangzhou University and his Ph.D. from the Technical University of Denmark (2012). After postdoctoral research at Umeå University, Sweden (2012–2016), he secured a tenured researcher position (2017) before joining Yangzhou University. With over 60 SCI publications, his work appears in leading journals such as Global Change Biology, Proceedings B, Journal of Theoretical Biology, and Physical Review E. Honored as a Jiangsu Specially Appointed Professor (2018) and recipient of the Jiangsu Industrial and Applied Mathematics Young Scientist Award (2018), he has led multiple projects, including grants from the Jiangsu Natural Science Foundation (2018, 2023), NSFC (2019, 2024), and the State Key Laboratory of Lake Science and Environment (2022).

Abstract: The periodic motion is the important nonlinear phenomenon and the significant research topic. Periodic systems can characterize seasonally driven patterns, periodic regulation phenomena, pulse phenomena, and similar dynamics in biological systems. Notably, seasonal periodicity constitutes a fundamental characteristic of biological dynamics. Processes such as birth, mortality, development, diapause, and infection in biological populations and vector-borne diseases exhibit periodic patterns due to seasonal drivers including temperature, precipitation, and sunlight exposure. This cyclical characteristic provides critical insights for understanding and predicting population trajectories. Based on the first-order quasilinear partial differential equations, size-structured population models effectively capture heterogeneity among individuals and nonlinear growth dynamics within populations. Relevant problem formulations encompass age-structured models, time-delay difference/differential equations, reaction-diffusion equations, and related non-densely defined Cauchy problems. Periodic and size-structured models are pivotal in understanding complex biological systems, from microbial communities to predator prey dynamics. These frameworks integrate temporal oscillations (e.g., seasonal forcing) and physiological heterogeneity (e.g., age/size classes) to reveal mechanisms driving population stability, chaos, and bifurcation phenomena. In this session, we focus on periodic dynamics and their applications in biological models.

Speakers (continually updating)

1. Fuxiang Li, Global dynamics of a degenerate reaction-diffusion model for Lyme disease with seasonal and multiple vector interactions, China University of Geosciences(Beijing)
2. Jiawei Huo, Dynamical analysis of an almost periodic and age-structured population model, Beijing University of Chemical Technology
3. Ruiwen Wu, A nonlocal reaction-diffusion pest model with impulsive IGRs treatments, Jinan University
4. Lai Zhang, Juvenile- adult asymmetry in species interactions and boldness: mechanisms governing population stability, Yangzhou University

Zhijun Liu, Professor Liu is a distinguished scholar, serving as Vice President of Hubei Minzu University an adjunct doctoral supervisor at Sichuan University. His academic leadership is demonstrated through his role as Executive Council Member of the Hubei Mathematical Society. Recognized for his scholarly contributions, he has been awarded the Hubei Provincial Government Special Allowance and selected for the Second Tier of Hubei's New Century High-Level Talent Program. Specializing in the theory and applications of differential equations, he has made significant research advancements in this field. He has led three National Natural Science Foundation of China (NSFC) projects and was honored with the Third Prize of Hubei Natural Science Award for his outstanding achievements.

Lianwen Wang, Professor Wang has published more than 40 papers in prestigious academic journals both domestically and internationally, completed the Youth Program of Hubei Natural Science Foundation, the Youth Program funded by the National Natural Science Foundation of China (NSFC), and contributed as a key participant in four other NSFC-funded research projects.

Abstract: In this session, heterogeneous susceptibility and infectivity of tuberculosis transmission are modeled by a nonlocal state-structured SIR model as well as an age-structured models with pre/post-exposure vaccinations, we establish their global threshold stability to evaluate intervention efficacy. The analysis is complemented by insights from discrete dynamical systems, where difference equations analogously capture threshold dynamics in population-based disease models. Next, the stochastic asymptotic stability of a stochastic brucellosis model with semi-Markovian switchings and diffusion is investigated to understand the influence of stationary distribution of semi-Markov process on extinction of brucellosis in switching environment. Lastly, investigation of predator-prey systems with cooperative hunting reveals complex dynamics through equilibrium analysis and bifurcation theory (Bogdanov-Takens, degenerate Hopf). Moderate cooperative hunting enhances predator persistence and ecosystem diversity.

Speakers (continually updating)

1. Lianwen Wang, Modeling the heterogeneous susceptibility and infectivity: A nonlocal state-structured SIR epidemic model, Hubei Minzu University
2. Qian Jiang, Stability analysis and optimal control for an age-structured tuberculosis model with pre- and post-exposure vaccinations, Sichuan University
3. Yong Yao, School of Mathematics and Physics, The dynamics of predator-prey systems with cooperative hunting, Wuhan Institute of Technology
4. Jing Hu, Stability of stochastic switching systems and its application to epidemic model, Ningxia University

Fangfang Liao, serves as the leader of the Hunan Provincial Higher Education Innovation Team for Science and Technology - "Nonlinear Functional Theory Application-Driven Achievement Transformation," and the Director of the Hunan Provincial Engineering Research Center for "Intelligent Design and Operation Management of Grain Processing Production Lines." She is also the academic leader of the National First-Class Major in "Mathematics and Applied Mathematics," a National Intermediate Technology Broker for Technology Transfer, and a Standing Council Member of the Hunan Mathematical Society. Additionally, she holds the title of Hunan Provincial First-Class Course Leader, "Hunan Furong Hundred-Post Star," Hunan Provincial Young Backbone Teacher, and Outstanding Instructor for the Hunan College Student Mathematics Competition. Her roles further include serving as an expert for laboratory safety inspections in Hunan undergraduate universities, the head of the Chenzhou Applied Mathematics Achievement Transformation Technology R&D Center, and being recognized as the "Most Beautiful Science and Technology Worker" in Chenzhou City.

Abstract: In this session, speakers will bring together cutting-edge research on the dynamical behavior of both continuous and discrete systems, with applications in Hamiltonian mechanics, mathematical biology, quantum physics, and evolutionary game theory. By bridging theoretical analysis and applied modeling, speakers will highlight novel methodologies, stability phenomena, and computational approaches in modern dynamical systems research. Speakers will discuss open challenges and future directions in these rapidly evolving fields.

Speakers (continually updating)

1. Fangfang Liao, The existence of homoclinic solutions for a class of second order Hamiltonian systems in one-dimensional, Xiangnan University
2. Yanshan Chen, Existence and multiplicity of normalized solutions to the discrete superlinear Schrodinger equations, Guangzhou University
3. Chenxi Jiang, Dynamic adjustment mechanisms in cooperation for evolving strategy using differential equations and replicator dynamics, Xiangnan University
4. Hua Kong, Breaking Smoothness Barriers: A Time Scale Approach for Fractional Differential Equation, Sichuan University

Zhichun Yang, professor and doctoral supervisor at the School of Mathematical Sciences of Chongqing Normal University, is mainly engaged in the research of discrete dynamic systems and hybrid control. He has achieved a series of innovative results in the fields of stability of nonlinear difference equations, bifurcation theory and chaotic dynamics, and his related research has been published in international authoritative journals such as "Journal of Differential Equations" and "Nonlinear Analysis". As the project leader, he presided over a number of scientific research projects such as the National Natural Science Foundation of China and the Chongqing Natural Science Foundation, and served as an editorial board member of journals such as "Journal of Mathematics". Professor Yang Zhichun has long been committed to the combination of mathematical theory and application, and his research results have been applied to fields such as networked control systems and biological population models. The "Stability Criteria for Pulse Hybrid Systems" proposed by his team has been widely cited by peers at home and abroad. He has won the Chongqing Natural Science Award and was selected into the Chongqing University Young and Middle-aged Backbone Teachers Support Program, making important contributions to the construction of mathematics disciplines and talent training at Chongqing Normal University.

Qiru Wang is a professor and doctoral supervisor at the School of Mathematics of Sun Yat-sen University. He is mainly engaged in research in the fields of differential equations and dynamical systems, nonlinear analysis and its applications. He has published many high-level papers in domestic and foreign academic journals, presided over many National Natural Science Foundation projects, and participated in important scientific research cooperation. Professor Wang has rich teaching experience and has long been responsible for guiding undergraduate and graduate mathematics courses, focusing on cultivating students' innovative thinking and practical ability. In addition, he also serves as an editorial board member of some academic journals and actively participates in discipline construction and academic exchange activities.

Xingwu Chen, professor and doctoral supervisor at the School of Mathematics, Sichuan University, is mainly engaged in research in the fields of partial differential equations, mathematical physics and applied analysis. He has achieved a series of innovative results in nonlinear wave equations, integrable systems and mathematical modeling, and has published many high-level papers in internationally renowned journals such as Journal of Differential Equations, Nonlinearity and Physica D, and has presided over a number of scientific research projects such as the National Natural Science Foundation.

Abstract: This session focuses on cutting-edge advances in modeling, analysis, and control of hybrid systems where discrete-time dynamics (governed by difference equations) interact with continuous-time phenomena. We invite contributions addressing: (1) Discrete Dynamical Systems: Stability, bifurcation, and chaos in nonlinear difference equations with applications to digital control and sampled-data systems. (2) Hybrid System Modeling: Frameworks coupling discrete maps with continuous flows, including impulsive systems and switched dynamics.

Speakers (continually updating)

1. Limin Zhang, Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect, Chongqing University of Posts and Telecommunications
2. Fei Shi, Impulsive control to a periodic plant-pest-natural enemy model in a patchy environment, Chongqing Normal University
3. Yuwei Li, Some new results on robustness for impulsive differential equations and generalized ordinary differential equations, Chongqing Normal University
4. Zhaolei Zhu, Dynamic analysis of an age-structured pulse integrated management model for sea lice, Chongqing Normal University

Mingkang Ni, a doctoral supervisor, foreign academician of the Russian Academy of Natural Sciences, and Shanghai Pujiang Scholar, formerly served as a council member of the Chinese Mathematical Society. He currently holds the positions of Vice Chairman of the Singular Perturbation Professional Committee of the Chinese Mathematical Society, Executive Director of the Shanghai Association of Quantitative Economics, and Director of the Shanghai Systems Engineering Society. In 1996, he obtained his Ph.D. in Mathematics and Physics from the Russian Academy of Sciences. In August 2004, he was appointed a visiting professor at the Russian People’s Friendship University. His primary research focuses on singularly perturbed differential dynamical systems and optimal control theory. He has published over 100 papers, all in Russian and featured in core journals of the Russian Academy of Sciences

Abstract: Multi-scale dynamical system is a vital branch in the fields of differential equations and dynamical systems, encompassing both continuous and discrete dynamical systems, where difference equations play a fundamental role in modeling temporal evolution. They possess profound theoretical significance while being extensively applied across various domains of natural sciences, including fluid dynamics, chemical reaction kinetics, neuroscience, population dynamics, and epidemic prevention and control. Our session focus on the applications and dynamics of multi-scale dynamical systems.

Speakers (continually updating)

1. Jianhe Shen, Contact points and their bifurcations in planar singular perturbation problems, Fujian Normal University
2. Yuhua Cai, Resident-mutant dynamics: the role of averaging principle, Fujian Normal University
3. Xiao Wu, Canard explosion of a singularly perturbed SIS epidemic model with non-monotone incidence rate and Logistic-type population birth rate, Donghua University
4. Zhengkang Li, Existence and stability of slow-fast traveling pulses in a chemical system with quintic nonlinearity, China University of Mining and Technology
5. Zirui Zhu, Multi-scale Problems and Limit Cycles in Piecewise-Smooth Predator-Prey Systems, Henan Normal University

Shijie Zhou,, a Young Researcher at Fudan University. He obtained his Bachelor's degree from the School of Mathematical Sciences, Fudan University in 2014, and his Ph.D. degree from the same school in 2019. Following the completion of his doctoral studies, he conducted postdoctoral research at City University of Hong Kong and the University of York successively. He focuses on the dynamic modeling of complex systems and intelligent control algorithms, paying particular attention to the comprehensive effects of complex factors such as time delays, stochasticity, and network structure on the evolution and control of system dynamics. His research results have been published in renowned journals including SIAP, SICON, TAC, and Automatica, and have been actively cited and positively evaluated by several IEEE Fellows and scholars in related fields. He is the principal investigator of the National Natural Science Foundation of China (NSFC) Young Scientists Fund. In 2023, he was selected for the Shanghai Magnolia Youth Talent Program, and in 2024, he was selected for the National Young Overseas High-Level Talent Introduction Plan.

Abstract: In this session, we focus on advancing the study of numerical solutions for complex differential systems and discrete dynamical systems described by difference equations, uniting researchers developing cutting-edge computational methodologies. Designed to bridge theoretical mathematics with practical scientific and engineering applications, numerical solutions provide essential tools for tackling realistic but computationally tractable models. Our session aims to bring together researchers working on the foundations and implementations of numerical methods to present recent breakthroughs across the field, including high-order discretization schemes, adaptive algorithms, uncertainty quantification, parallel computing techniques, and applications to multiscale phenomena.

Speakers (continually updating)

1. Kele Sun, Discontinuous Galerkin Method for Polynomially Growing PDEs, Fudan University
2. He Ma, Neural Transfer Learning: A Framework for Creating Nonlinear Dynamical Systems with Prescribed Behaviors, Fudan University
3. Zhaonan Luo, Global solutions to the inviscid Oldroyd-B equations, Sun Yat-Sen University
4. Xinyu Cheng, Analytical and numerical results of PDE models from material sciences and biology, Fudan University
5. Jichen Yang, Bifurcations in shallow water equations with horizontal kinetic energy backscatter and bottom drags, Harbin Engineering University
6. Ying Wang, Eentropies of nonautonomous dynamical systems, Fudan University

Xiaofeng Luo is an associate professor at school of mathematics of North University of China, where he serves as deputy director of the department of mathematics and applied mathematics. His research primarily focuses on network-based infectious disease transmission dynamics and pattern formation dynamics in complex networks. He has authored or co-authored over 30 SCI-indexed papers in prestigious journals such as Physics Reports, Journal of Mathematical Biology, Bulletin of Mathematical Biology, Physical Review Research and Chaos. He has led or participated the National Natural Science Foundation of China and the Shanxi Provincial Basic Research Program. In 2024, he was selected for the "Sanjin Yingcai" Young Elite Talent Program in scientific innovation.

Yi Wang received the Ph.D. degree in mathematics from Southeast University, Nanjing, China, in 2016. Currently, he is an Associate Professor with the Department of Information and Computing Science, China University of Geosciences, Wuhan, China, and serves as deputy dean of School of Mathematics and Physics. His current research interests include mathematical biology and complex networks. He has authored or co-authored over 40 SCI-indexed papers in prestigious journals such as Bulletin of Mathematical Biology, Physica D, Chaos, Journal of Mathematical Biology and Physics Reports. He has led or completed three National Natural Science Foundation of China (NSFC) projects and four Provincial Basic Research Programs.

Lili Chang, an associate professor at the Complex Systems Research Center, Shanxi University, primarily engages in research on biomathematics and complex networks, differential equation-constrained optimization. He has published over 30 papers in prestigious journals such as SIAP, Phys. Rep., Phys. Rev. Research, J. R. Soc. Interface, JMB, PRE, and Chaos. He has led or completed three National Natural Science Foundation of China (NSFC) projects and participated in one NSFC key project.

Yongxin Zhang graduated from Southwest University and is currently employed at North University of China. His research primarily focuses on bifurcation theory in ordinary differential equations and stochastic differential equations, as well as investigating the pathogenesis of Alzheimer's disease. He has led Youth Project of the National Natural Science Foundation of China and Shanxi Provincial Youth Foundation project. Additionally, he has participated in three National Natural Science Foundation General Program projects and one National Key Research and Development Program project. To date, he has published seven SCI academic papers.

Abstract: This session focuses on advancing the study of population dynamics in networked reaction-diffusion systems by bringing together researchers to share recent progress in this emerging and interdisciplinary field. Since its introduction by Hiroya Nakao in 2010, the concept of reaction-diffusion dynamics on large-scale complex networks has provided a powerful framework for understanding spatially extended biological, chemical, and epidemiological processes in discrete and heterogeneous structures. Our session aims to showcase new theoretical and computational developments in this area, covering a wide range of topics including: network transmission dynamics, pattern dynamics, spatially discrete dynamics, and higher-order diffusion dynamics. Special attention will be given to discrete-time and discrete-space formulations of these systems, including coupled difference equations and discrete dynamical networks that arise from temporal discretization or inherently discrete interactions.

Speakers (continually updating)

1. Yi Wang, Impact of degree correlation on SIR epidemic dynamics in complex networks, China University of Geosciences
2. Shupeng Gao, Turing patterns in simplicial complexes, Tangshan research institute, Beijing Institute of Technology
3. Xiaofeng Luo, Optimal mixed control of networked reaction-diffusion systems, North university of China
4. Jing Li， Research on Complex Spatiotemporal Patterns in Vegetation Systems of Arid and Semiarid Regions, Shanxi University of Finance and Economics
5. Yongxin Zhang, Mathematics Model and Analysis for Alzheimer's Disease, North university of China
6. Hongtao Zhang, Spike patterns in a vegetation model with cross-diffusion and saturated water absorption effect, North university of China
7. Xiaojie Jing, Stochastic dynamics of an SEIR epidemic model on heterogeneous networks: A case of COVID-19, North university of China

Xiaoyue Li, professor at the School of Mathematical Sciences, Tiangong University. She has long been engaged in research on the theory and numerical methods of nonlinear stochastic differential equations and their applications, focusing on the asymptotic behavior analysis and numerical approximation of nonlinear stochastic systems closely related to mathematics, automatic control, biology, and other disciplines. She has published over 50 papers in journals such as the SIAM series, Mathematics of Computation, and Journal of Differential Equations. Additionally, She has led five projects funded by the National Natural Science Foundation of China and several other research projects.

Abstract: Discrete dynamical systems have wide applications in fields such as biology, financial engineering, artificial intelligence, and control engineering. Their important dynamic behaviors like attractors and the existence of ergodic measures attract significant attention. This section focuses on the dynamic behaviors of discrete dynamical systems, including the convergence relationship between discrete and continuous systems, control synchronization, and other key issues.

Speakers (continually updating)

1. Dingshi Li, Uniform Measure Attractors for Non-autonomous Stochastic Delayed Lattice Systems with High-order Nonlinear Noise, Southwest Jiaotong University
2. Lei Li, Variable-step discretizations of Volterra equations with completely positive kernels, Shanghai Jiao Tong University
3. Xiaoyue Li, Discretization of super-linear slow–fast stochastic differential equations, Tiangong University
4. Zhongwei Liao, Viscosity solution approach to continuous-time decision processes with history-dependent policies, Beijing Normal University
5. Fengying Wei, Truncated Euler-Maruyama Method and its Positivity of Stochastic L-V Competition Models, Fuzhou Universtity

Chuangxia Huang received the B.S. degree in Mathematics in 1999 from National University of Defense Technology, Changsha, China. From September 2002, he began to pursue his M.S. degree in Applied Mathematics at Hunan University, Changsha, China, and from April 2004, he pursued his Ph.D. degree in Applied Mathematics in advance at Hunan University. He received the Ph.D. degree in June 2006. He is currently a Professor of Hunan University of Science and Engineering, Yongzhou, China. He is the author of more than 100 journal papers. His research interests are in the areas of dynamics of functional differential equations and difference equations.

Jing Li received the B.S. degree in Mathematics in 2003 from Changsha University of Science and Technology, Changsha, China. From September 2003, she began to pursue her M.S. degree in Applied Mathematics at Changsha University of Science and Technology, Changsha, China, and from September 2004, she pursued her Ph.D. degree in Applied Mathematics in Central South University. She received the Ph.D. degree in June 2009. She is currently a Professor of Changsha University of Science and Technology, Changsha, China. She is the author of more than 40 journal papers. Her research interests are in the areas of partial differential equations and its numerical solutions.

Shuqing Gong received the B.S. degree in mathematics from Anyang Normal University, Anyang, China, in 2013, and the Ph.D. degree in applied mathematics from the School of Mathematics, Hunan University, Changsha, China, in 2019. She is currently a Lecturer with the School of Mathematics, Changsha University of Science and Technology, Changsha. Her research interests include neural networks, switched systems, memristive systems, and networked control systems.

Lixi Wen obtained his Ph.D. in Science from Central South University in 2023, with research directions in the calculus of variations and critical point theory. He has published more than ten papers in journals such as J. Differential Equations. In 2024 and 2025, he was funded by the National and Provincial Natural Science Foundation for Young Scientists, respectively.

Abstract: Nonlinear dynamical systems, whether discrete (governed by difference equations, iterative maps, and stochastic processes) or continuous (described by differential equations and PDEs), are essential for modeling complex phenomena in neuroscience, genetics, mathematical biology, and applied mathematics. This session highlights recent advances in discrete dynamical systems, including synchronization under cyber threats, stochastic gene regulation, and discrete control strategies, alongside continuous frameworks such as Schrödinger equations and geometric analysis of biological systems.

Speakers (continually updating)

1. Shuqing Gong, Synchronization of Neural Networks Under DoS Attacks via Multi-channel Discrete Control,Changsha University of Science and Technology
2. Lixi Wen,Planar Schrödinger equations with critical exponential growth, Changsha University of Science and Technology
3. Ying Sheng, Geometric Theory of Distribution Shapes for Autoregulatory Gene Circuits, Guangzhou University
4. Liang Chen, Inference of stochastic gene transcription model based on qualitative of data, Guangzhou University

Jiafu Wang received the B.S. degree in Mathematics in 2004 from Hunan Institute of Science and Technology, Yueyang, China. From September 2004, he began to pursue his M.S. degree in Applied Mathematics at Hunan University, Changsha, China, and from September 2006, he pursued his Ph.D. degree in Applied Mathematics in advance at Hunan University. He received the Ph.D. degree in June 2009. He is currently a Professor of Changsha University of Science and Technology, Changsha, China. He is the author of more than 40 journal papers. His research interests are in the areas of non-smooth dynamical systems, functional differential equations and biological mathematics.

Lihong Huang is currently a Professor at Changsha University. He is a doctoral advisor both at Hunan University and Changsha University of Science and Technology. He is a Clarivate Highly Cited Researcher (Global) and an Elsevier Highly Cited Chinese Researcher. He has won the first prize of scientific and technological progress in Hunan Province. His research interests are in the areas of non-smooth dynamical systems, functional differential equations and biological mathematics.

Lingling Zhang was born in 1982. She received the M.Sc. and Ph.D. degrees in mathematics from Hunan University, China, in 2007 and 2010, respectively. She is currently a Professor of Changsha University. Her research interest include differential inclusions, neural networks, the stability and control of dynamic system.

Zengyun Wang received the B.S. degree in Applied Mathematics from Linyi Normal University and Ph.D. degree in Applied Mathematics from the College of Mathematics and Econometrics, Hunan University, Changsha, China in 2005 and 2010, respectively. In 2016, he holden a China Scholarship Council Studentship for one-year study with the Faculty of Applied Mathematics at the University of Waterloo, Waterloo, Canada. From 2018 to 2023, he was a Post-Doctoral Researcher at Southeast University, Nanjing, China. He is currently a Professor in the School of Mathematics and Statistics at Hunan First Normal University. His research interests include discontinuous differential equation, complex dynamical networks and distributed control. He has published over 30 research papers in various prestigious journals.

Lian Duan received the B.S. degree in Mathematics in 2006 from Fuyang Normal University, Fuyang, China. From September 2006, he began to pursue his M.S. degree in Applied Mathematics at Wuhan University, Wuhan, China, and from September 2012, he pursued his Ph.D. degree in Applied Mathematics at Hunan University. He received the Ph.D. degree in June 2016. He is currently a Professor of Anhui University of Science and Technology, Huainan, China. He is the author of more than 40 journal papers. His research interests are in the areas of differential equations and dynamical systems.

Abstract: Nonsmooth dynamical systems serve as models for a great variety of engineering devices and they deserve considerable attention. In this session, we aim to unite related researchers to present new research in this area. Our session focuses on the theory as well as on the application of nonsmooth dynamical systems, including qualitative theory such as limit cycles and bifurcations induced by the discontinuities, stability theory, biological models with threshold control strategies, and nonsmooth oscillators. Special emphasis will also be given to the interplay between nonsmooth continuous-time systems and their discrete-time counterparts, such as difference equations or discrete dynamical systems arising from discretization, Poincaré maps, or hybrid control strategies.

Speakers (continually updating)

1. Jiafu Wang, Stability and periodicity of piecewise smooth systems with delayed control, Changsha University of Science and Technology
2. Lingling Zhang, Hopf bifurcation analysis for a maglev system with two time delays, Changsha University
3. Zengyun Wang, Finite/fixed-time stability of discontinuous systems via Lyapunov method with indefinite derivative, Hunan First Normal University
4. Lian Duan, Dynamics analysis of two diffusive epidemic models with spatial heterogeneity, Anhui University of Science and Technology
5. Ting Chen, Limit cycles in the perturbation of a piecewise cubic quasi-homogeneous system with a global center, Guangdong University of Finance and Economics

Shaofen Zougot her Ph D in 2007. and now is a associate professor at Hunan University. She has been engaged in theoretical and applied research of differential equation dynamics for more than Twenty years, mainly focusing on qualitative and stability of differential equations, time delay differential equations, reaction-diffusion equations, and discontinuous switching differential systems.The research results and achievements were published in Physical Review E, Neural Networks、NonlinearAnalysis：RWA、Mathematical Methods in the Applied Science, etc. She also has presided over and completed national youth natural science Foundation projects and some Hunan Provincial Science projects. Now her team has more than ten members, including master students and four doctor students.

Abstract: In this session, we focus on advancing the study of dynamical systems on time scales by uniting researchers working in this area to present new research in this area and its special cases. Introduced by Stefan Hilger in 1988 to bridge the realms of continuous and discrete analysis, time scales offers a tool for realistic but mathematically feasible modeling. We hopefully look forward to a key emphasis on discrete-time dynamics, providing a unified framework for studying stability, bifurcations, and control strategies in discrete dynamical systems. Our session aims to bring together researchers working on the theory of time scales to present recent research across the theory, including generating functions, the study of dynamic systems, partial dynamic equations, and special functions theory.

Speakers (continually updating)

1. Shiqin Ou, Fixed-time multistability in switched fuzzy neural networks with multi-controller strategies,Guizhou University
2. Yanyu Xiao, Investigation on some control strategies on a network model, University of Cincinnati
3. Ruiqiang Zhuo, Dynamics of a discrete-time reaction-diffusion SIS epidemic model in heterogeneous environment, Guangzhou University
4. Wenjie Li, Dynamics of a linear source epidemic system with diffusion and media impact, Kunming University of Science and Technology