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 …

We review the observations and the basic laws describing the essential aspects of collective
motion—being one of the most common and spectacular manifestation of coordinated …

We review a general class of models for self-organized dynamics based on alignment. The
dynamics of such systems is governed solely by interactions among individuals or “agents,” …

The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

We introduce a model for self-organized dynamics which, we argue, addresses several
drawbacks of the celebrated Cucker-Smale (CS) model. The proposed model does not only …

In this paper, we analyze the asymptotic behavior of solutions of the continuous kinetic
version of flocking by Cucker and Smale [IEEE Trans. Automat. Control, 52 (2007), pp. 852 …

We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …

These notes are devoted to a summary on the mean-field limit of large ensembles of
interacting particles with applications in swarming models. We first make a summary of the …

In this chapter, we present the Cucker–Smale-type flocking models and discuss their
mathematical structures and flocking theorems in terms of coupling strength, interaction …

A generalization of the Cucker--Smale model for collective animal behavior is investigated.
The model is formulated as a system of delayed stochastic differential equations. It …