This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

This paper proposes an essay concerning the understanding of human behaviours and
crisis management of crowds in extreme situations, such as evacuation through complex …

This paper proposes a review focused on exotic chemotaxis and cross-diffusion models in
complex environments. The term exotic is used to denote the dynamics of models interacting …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

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 proposes a systems approach to social sciences based on a mathematical
framework derived from a generalization of the mathematical kinetic theory and of theoretical …

This paper deals with the modeling and simulation of swarms viewed as a living, hence
complex, system. The approach is based on methods of kinetic theory and statistical …

PDE systems describing chemotaxis, the directed motion of organisms in response to a
chemical signal, contain a cross-diffusive term which in many cases causes the …

This paper proposes a multiscale vision to human crowds which provides a consistent
description at the three possible modeling scales, namely, microscopic, mesoscopic, and …

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 …