This review reports the existing literature on traffic flow modelling in the framework of a
critical overview which aims to indicate research perspectives. The contents mainly refer to …

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 …

This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …

This paper, that deals with the modelling of crowd dynamics, is the first one of a project
finalized to develop a mathematical theory refereing to the modelling of the complex systems …

Multiphase flows of suspensions and emulsions are frequently approximated by spatially
one-dimensional kinematic models, in which the velocity of each species of the disperse …

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 deals with some methodological aspects related to the discretization of a class of
integro-differential equations modelling the evolution of the probability distribution over the …

After reviewing a variety of macroscopic models based on the continuum approach, cellular
automata models, models based on the kinetic theory of gases as well as microscopic …