Call for Special Sessions

Special Sessions supplement the regular program of ICDEA 2026 and are intended to provide a sample of the state-of-the-art and highlight important research directions in a field of special interest to ICDEA 2026 participants. Each Special Session should be a focused effort rather than defined broadly.

Important Dates

Proposal submission deadline: 15th April 2026.

Proposal notification: 22nd April 2026

Requirements

The minimum target for each Special Session is 4 accepted papers.

The following information should be included in the proposal:

• Title of the proposed special session
• Names and affiliations of the organizers (including brief bio and contact info)
• Session abstract (state the motivation and significance of the topic, and the rationale for the proposed session)
• List of invited papers (including a tentative title, author list )

In addition to invited papers, other potential authors will be allowed to submit papers to Special Sessions. All papers will go through the same review process as the regular papers submitted to the main conference to ensure that the contributions are of high quality. 

Proposals will be evaluated based on the timeliness of the topic and relevance to ICDEA 2026, as well as the track record of the organizers and anticipated quality of papers in the proposed session. When considering submitting a Special Session proposal, please bear in mind that Special Sessions are expected to be oral sessions. Only those proposals that have the potential to attract high-quality papers are likely to be approved. Once the proposal has been approved, the organizer(s) and the Special Session co-chairs will arrange the review process.

Submission

Special session proposals should be submitted by email at : Rene.LOZI@univ-cotedazur.fr  

 Approved Special Sessions 

 SS1

Advances in Dynamical Systems and Their Applications

Organizers: 

Yun Kang – Arizona State University, School of Mathematical and Statistical Sciences, Tempe, Arizona, USA.

Jaqueline Mesquita – Universidade Estadual Paulista (UNESP), Department of Mathematics, São José do Rio Preto, Brazil.

Sabrina Streipert – University of Pittsburgh, Department of Mathematics, Pittsburgh, Pennsylvania, USA

Abstract:  Our special session entitled “Advances in Dynamical Systems and Their Applications” focuses on recent advances in modeling complex systems arising in biology, social sciences, and related fields, and methods in discrete mathematics for their analysis and investigation. We particularly welcome contributions on discrete-time dynamical systems, network and agent-based models, as well as related frameworks such as abstract dynamical systems. The session aims to bring together researchers developing novel analytical methods particularly relevant when studying discrete models applied to real-world problems as well as researchers utilizing discrete mathematics to describe real-life processes. This session fosters an exchange of tools, techniques, and modeling perspectives. Topics of interest include, but are not limited to, stability and persistence theory, bifurcation phenomena, periodic behavior and its emergence, threshold dynamics, and the effects of nonlinear interactions and heterogeneity in models in ecology, epidemiology, social sciences, and beyond. By bridging methodological developments and practical applications, this session seeks to highlight the growing role of discrete dynamical approaches in addressing contemporary challenges across the life and social sciences.

SS2

Discrete-Time Population Dynamics and Epidemic Spread: Theory and Applications

Organizers: 

Dingyong Bai – Guangzhou University, School of Mathematics and Information Sciences, Guangzhou, China

Zhiming Guo – Guangzhou University, School of Mathematics and Information Sciences, Guangzhou, China

Bo Zheng – Guangzhou University, Center For Applied Mathematics, Guangzhou, China

Abstract: From Wolbachia-infected mosquito population suppression to the spatiotemporal spread of infectious diseases, discrete-time dynamical systems provide a powerful framework for understanding biological rhythms and implementing effective control strategies. This special session focuses on the theoretical analysis of difference equations and their applications in population dynamics and disease transmission. Themes include: discrete-time epidemic models with time delays and impulsive releases, periodic switching models for mosquito-borne disease control, bifurcation and stability analysis of discrete population models, the variational method for discrete systems and its applications to boundary value problems and homoclinic solutions, traveling wavefronts in temporally discrete reaction-diffusion equations with delays, and data-driven discrete models for parameter estimation from biological experiments. We particularly welcome contributions that bridge rigorous mathematical theory with biological data, field experiments, or public health interventions. The session provides a platform for early-career and established researchers to exchange ideas and foster interdisciplinary collaborations.

SS3

Recent advances in time scales calculus

Organizers: 

Tom Cuchta – Assistant Professor of Mathematics, Marshall University, Department of Mathematics and Physics, Huntington, West Virginia, USA.

Jaqueline Mesquita – Universidade Estadual Paulista (UNESP), Department of Mathematics, São José do Rio Preto, Brazil.

Sabrina Streipert – University of Pittsburgh, Department of Mathematics, Pittsburgh, Pennsylvania, USA

Abstract:

SS4

Theoretical and Applied Perspectives of Low-Dimensional Nonlinear Maps

Organizers:  

Nicolò Pecora, Catholic University of Sacred Heart, Piacenza, Italy

Iryna Sushko, Institute of Mathematics, National Academy of Sciences of Ukraine      

Wirot Tikjha, Pibulsongkram Rajabhat University, Pithsanulok Province, Thailand

Abstract: This session delves into the rich and complex behavior of low-dimensional nonlinear maps. We welcome contributions that explore dynamics of various systems continuous or discontinuous, smooth or piecewise smooth, invertible or noninvertible. Our goal is to bridge the gap between purely theoretical advancement and practical application. Presentations will highlight qualitative and quantitative methodologies for uncovering new local and global properties of nonlinear maps, their invariant sets, bifurcations, etc. We highly encourage submissions that extend the boundaries of current theoretical frameworks or apply these nonlinear dynamical methods to real-world challenges.

SS5

Asymptotic behaviours of nonautonomous and random discrete dynamical systems

Organizers:

Davor Dragičević – Faculty of Mathematics, University of Rijeka, Rijeka, Croatia.

Adina Luminița Sasu – Department of Mathematics, West University of Timișoara, Timișoara, Romania.

Weinian Zhang – School of Mathematics, Sichuan University, Chengdu, Sichuan, People’s Republic of China.

Abstract: Asymptotic behaviors of dynamical systems have been among the most active areas of research in the past decades, with a substantial impact and remarkable applications in control theory, engineering, economics, biology, and computer science. This special session aims to highlight recent advances in the qualitative and quantitative asymptotic theory of discrete dynamical systems and difference equations, with a special focus on nonautonomous and random dynamical systems.  Topics to be considered will include exponential dichotomy, generalized dichotomy, exponential trichotomy, robustness, evolution semigroups, and limit theorems for nonautonomous and random dynamical systems. Among the methods to be discussed and explored, we mention control techniques, admissibility, shadowing, invariant sets, ergodic theory approaches, operator theory, and spectral properties. Other related topics of high impact in the same areas are welcome. 

SS6

Advances in Mathematical Epidemiology at the Interface of Difference and Differential Equations and Ecological Dynamics (Online)

Organizers:

Chidozie Williams Chukwu – Department of Mathematical Sciences, Georgia Southern University Statesboro, Georgia, USA

Dawit Denu – Department of Mathematical Sciences, Georgia Southern University Statesboro, Georgia, USA

Folashade B. Agusto – Department of Ecology and Evolutionary Biology, University of Kansas Lawrence, Kansas, USA

Abstract:  Mathematical epidemiology has become an essential tool for understanding the spread and control of infectious diseases. Models based on differential and difference equations provide powerful frameworks for describing the nonlinear interactions among host populations, pathogens, and intervention strategies. At the same time, ecological processes, such as environmental variability, host–vector interactions, and population heterogeneity, play a fundamental role in shaping disease dynamics and must be incorporated to achieve more realistic models. This special session explores recent advances in epidemiological modeling at the intersection of dynamical systems and ecological processes. By integrating ecological drivers into mathematical frameworks, researchers can better capture the complexity of disease transmission in both human and animal populations. Topics of interest include differential and difference equation models, ecological drivers of transmission, vector-borne and zoonotic diseases, stability and bifurcation analysis, delay and fractional-order models, spatial and network dynamics, data-driven modeling and forecasting, and optimal control strategies. The session aims to bring together researchers in applied mathematics, mathematical biology, and epidemiology to share recent theoretical developments and practical applications. It seeks to foster interdisciplinary collaboration and highlight emerging directions in infectious disease dynamics.

SS7

Discrete integrable systems and special functions (hybrid session)

Organizers:

Galina Filipuk – University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Institute of Mathematics, Banacha 2, 02‑097 Warsaw, Poland

Giorgio Gubbiotti – Department of Mathematics, University of Milan, Italy

Abstract: Discrete integrable systems bridge the worlds of difference equations, discrete geometry, and advanced special function theory, forming an important area of modern research. These systems exhibit rich structures (e.g., hidden symmetries) which are important  in both mathematics and physics. In particular, they drive the discovery of new discrete analogs of classical functions and illuminate subtle properties of well-known special functions, including orthogonal polynomials, hypergeometric functions, and their q-extensions.
This proposed virtual session aims to showcase recent advances for integrable difference systems and special functions, bringing together leading researchers and emerging scholars. The talks will emphasize interactions between theory, applications and  computational approaches. Through the exploration of topics such as special functions, discrete Painlevé systems, discrete continuum limits, and symmetries, participants will gain a comprehensive view of current challenges and open problems in the field.
This session encourages collaborations among experts in  dynamical systems  and applied mathematics. Overall, the goal is to advance our understanding of discrete integrability and expand the knowledge of special functions in new directions.

SS8

Discrete-Time Models in Population Biology, Ecology, and Epidemiology:
Stability, Persistence, and Bifurcation

Organizers:

Arzu Bilgin – Department of Mathematics, Recep Tayyip Erdoğan University
Rize, Türkiye

Abstract:  This special session is devoted to recent developments in discrete-time models in population bi-ology, ecology, and epidemiology. The emphasis will be on nonlinear difference equations arising in biological systems, with particular attention to threshold dynamics, persistence and extinction, local and global stability, bifurcation, delayed effects, and stochastic influences.
Discrete-time models arise naturally in many biological settings, including seasonal reproduction,
generation-based development, pulse intervention, and stepwise disease transmission. In such settings, they are not merely numerical approximations of continuous models, but mathematical models in their own right. They often exhibit qualitative features specific to discrete dynamics, including multistability, resonance, and parameter-dependent changes in long-term behavior.
The purpose of the proposed session is to bring together researchers working on the theory and
applications of difference equations in biological modeling. The session will provide a forum for
recent results on model formulation, threshold criteria, persistence, stability theory, bifurcation
analysis, and related analytical and computational questions. The topic fits well within the scope
of ICDEA 2026 and represents an active area of current research.

SS9

Discrete-time Dynamics, Policies, and Sustainability in Economic and Environmental Systems

Organizers:

Francesca Grassetti – Università degli Studi di Urbino 'Carlo Bo', Italy

Fabio Lamantia – University of Catania, Italy

Daniele Marazzina – Politecnico di Milano, Italy

Anastasiia Panchuk – Institute of Mathematics, National Academy of Sciences of Ukraine

Abstract:  

This special session focuses on the interplay between nonlinear dynamics, strategic behavior, and policy interventions in economic and environmental systems. We welcome works dealing with smooth or piecewise-smooth maps, discrete and hybrid dynamical systems, multi-sector frameworks, environmental and energy policies, social and network dynamics, and feedback-driven complex phenomena. Applications include environmental regulation, renewable and marine energy systems, recycling and circular economy mechanisms, and, in general, socio-economic interactions.

SS10

Nonlinear Dynamics in Financial Markets and Quantitative Finance

Organizers:

Roberto Dieci – Alma Mater Studiorum, Università di Bologna, Italy

Frank Westerhoff – University of Bamberg, Germany

Marina Santacroce – Catholic University of the Sacred Heart, Milan, Italy

Andrea Tarelli – Catholic University of the Sacred Heart, Milan, Italy

Abstract:  

This special session focuses on nonlinear dynamics in financial markets, with particular
attention to asset pricing models in which behavioral factors and informational asymmetries
give rise to nonlinearities and jump-type dynamics. It covers both theoretical developments
and empirical validation of these models.

SS11

Fractional Calculus, Difference Equations and Artificial Intelligence: Complexity Dynamics, Control, Nonlinearity across Complex Systems (Hybrid Session)

Organizers:

Dumitru Baleanu – Lebanese American University, Department of Computer Science and Mathematics, Beirut, Lebanon and Institute of Space Science, Magurele, Ilfov, Romania

Yeliz Karaca – University of Massachusetts (UMass), Department of Mathematics and Department of Neurology, MA, USA

Abstract:  

Discrete fractional calculus is the study of difference equations at which the order of the difference is not a whole number, which encompasses forward and backward fractional sums and differences. Difference equations are employed for modeling the relationship between successive values of a discrete sequence, which represents the way a system changes over discrete time steps. Fractional order differentiation and integration signify a generalization of conventional integer order calculus to non-integer real or even complex-valued orders, which points toward the capability of fractional calculus in describing memory-dependent behaviors and inherited properties of nonlinear systems [1]. Furthermore, discrete dynamic modeling allows for the understanding of the relationship between the components of a complex system as well as complexity dynamics so that the multilevel and nonlinear dynamics of large complex system under dynamic external control can be captured. The state of a complex system denotes the aggregate dynamics and general trend of multiple changing parameters.  The modeling of discrete dynamic complex systems, like in the case of biological networks or cellular automata signifying information on flow, order and chaos, in the lack of quantitative information entails the monitoring of complex systems generating voluminous amount of data, wherein quantitative analysis of big data facilitates the determination of system parameters for discrete dynamic modeling. Within the systems, fractional calculus, discrete fractional calculus, fractional-fractals, fractional wavelet, fractional entropy, and AI, deep learning, and other models are employed or identifying self-similar patterns, symmetries, singularities and regularities that stem from otherwise irregular data [2]. Thus, our session aims to elucidate the ways that could serve for generating applicable solutions and advanced mathematical models to pertinent problems, challenges and limitations encountered in mathematics, medicine, neuroscience, biology, epidemiology, mathematical biology, engineering, computer science, data science as well as applied disciplines.

References:

[1] Karaca, Y., Baleanu, D., Zhang, Y. D., Gervasi, O., & Moonis, M. (2026). EDITORIAL ARTICLE OF SPECIAL ISSUE: PART I-B SERIES—MATHEMATICAL MODELING OF COMPLEX SYSTEMS: FRACTALS-FRACTIONAL-ITÔ-DEs-WAVELET-ENTROPY-AI-BASED THEORIES, ANALYSES AND APPLICATIONS. Fractals, 34(04), 2602002.

[2] Karaca, Y., Baleanu, D., Moonis, M., Zhang, Y. D., & Gervasi, O. (2023). EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES: FRACTALS-FRACTIONAL AI-BASED ANALYSES AND APPLICATIONS TO COMPLEX SYSTEMS. Fractals, 31(10), 2302005.