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 …

Chemotactic interactions are ubiquitous in nature and can lead to non-reciprocal and
complex emergent behaviour in multibody systems. However, developing synthetic …

This book presents mathematical models and numerical simulations of crowd dynamics. The
core topic is the development of a new multiscale paradigm, which bridges the microscopic …

We present and discuss various one-dimensional linear Fokker–Planck-type equations that
have been recently considered in connection with the study of interacting multi-agent …

This paper aims at indicating research perspectives on the mathematical modeling of crowd
dynamics, pointing on the one hand to insights into the complexity features of pedestrian …

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 …

Synchronization of weakly coupled oscillators is ubiquitous in biological and chemical
complex systems. Recently, research on collective dynamics of many-body systems has …

This paper addresses some preliminary steps toward the modeling and qualitative analysis
of swarms viewed as living complex systems. The approach is based on the methods of …