Using tools from mathematical kinetic theory and stochastic game theory, this work deals
with the modeling of large complex systems in the applied sciences, particularly those …

Mathematical modeling using dynamical systems and partial differential equations is now
playing an increasing role in the understanding of complex multi-scale phenomena …

This paper deals with some methodological aspects related to the discretization of a class of
integro-differential equations modelling the evolution of the probability distribution over the …

This book is devoted to the design of a unified mathematical approach to the modeling and
analysis of large systems constituted by several interacting living entities. It is a challenging …

This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …

The modeling of living systems composed of many interacting entities is treated in this paper
with the aim of describing their collective behaviors. The mathematical approach is …

This paper presents a revisiting, with developments, of the so-called kinetic theory for active
particles, with the main focus on the modeling of nonlinearly additive interactions. The …

This volume collects ten surveys on the modeling, simulation, and applications of active
particles using methods ranging from mathematical kinetic theory to nonequilibrium …

The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

This paper presents a critical overview on the modeling of crowds and swarms and focuses
on a modeling strategy based on the attempt to retain the complexity characteristics of …