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 …

The adoption of containment measures to reduce the amplitude of the epidemic peak is a
key aspect in tackling the rapid spread of an epidemic. Classical compartmental models …

In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …

We study the flocking dynamics of a generalized Cucker--Smale (CS) model for
thermodynamic particles. The original CS model deals with flocking dynamics of mechanical …

In the present chapter, we study the emergence of global patterns in large groups in first-and
second-order multiagent systems, focusing on two ingredients that influence the dynamics …

It is recognized that social heterogeneities in terms of the contact distribution have a strong
influence on the spread of infectious diseases. Nevertheless, few data are available on the …

We derive novel algorithms for optimization problems constrained by partial differential
equations describing multiscale particle dynamics, including non-local integral terms …

This paper presents a unified mathematical theory of swarms where the dynamics of social
behaviors interacts with the mechanical dynamics of self-propelled particles. The term …

In this survey we consider mathematical models and methods recently developed to control
crowd dynamics, with particular emphasis on egressing pedestrians. We focus on two …