This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …

Vehicular traffic is attracting a growing scientific interest because of its connections with
other important problems, like, eg, environmental pollution and congestion of cities. Rational …

This paper deals with the mathematical modelling of crowd dynamics within the framework
of continuum mechanics. The method uses the mass conservation equation closed by …

Following some general ideas on the discrete kinetic and stochastic game theory proposed
by one of the authors in a previous work, this paper develops a discrete velocity …

Kinetic theory methods are applied in this paper to model the dynamics of vehicular traffic.
The basic idea is to consider each vehicular-driver system as a single part, or micro-system …

This paper proposes a mathematical model and a computational approach to study the
complex multiphysical non-linear coupled system that results from the interaction between a …

This paper presents a new mathematical model of vehicular traffic, based on the methods of
the generalized kinetic theory, in which the space of microscopic states (position and speed) …

This article deals with a review and critical analysis of first order hydrodynamic models of
vehicular traffic flow obtained by the closure of the mass conservation equation. The closure …

We consider the Follow-the-Leader (FtL) model and study which properties of the initial
positioning of the vehicles ensure its convergence to the classical Lighthill-Whitham …

In this paper we investigate the ability of some recently introduced discrete kinetic models of
vehicular traffic to catch, in their large time behavior, typical features of theoretical …