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

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

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 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 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 …

In this paper we investigate the stochastic modelling of a spatially structured biological
population subject to social interaction. The biological motivation comes from the analysis of …

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 …

We review the statistical mechanics approach to the study of the emerging collective
behaviour of systems of heterogeneous interacting agents. The general framework is …

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 …

The fact that relatively simple entities, such as particles or neurons, or even ants or bees or
humans, give rise to fascinatingly complex behaviour when interacting in large numbers is …