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 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 …

This paper deals with the development of new paradigms based on the methods of the
mathematical kinetic theory for active particles to model the dynamics of large systems of …

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 …

This paper provides an overview and critical analysis on the modeling and applications of
the dynamics of human crowds, where social interactions can have an important influence …

The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …

This paper develops a variety of mathematical tools to model the dynamics of large systems
of interacting cells. Interactions are ruled not only by laws of classical mechanics, but also by …

We introduce a new approach for modelling the behavior of pedestrians which borrows
techniques from the kinetic theory of rarefied gazes. This approach is based on concepts …