Understanding the interplay between human behavioral phenomena and infectious disease
dynamics has been one of the central challenges of mathematical epidemiology. However …

For the gang territoriality model\begin {align*}\begin {cases} u_t= D_u\Delta
u+\chi_u\nabla\cdot (u\nabla w),\\v_t= D_v\Delta v+\chi_v\nabla\cdot (v\nabla z),\\w_t …

This paper presents a critical analysis of the literature and perspective research ideas for
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …

In this paper we propose a novel macroscopic (fluid dynamics) model for describing
pedestrian flow in low and high density regimes. The model is characterized by the fact that …

In this contribution, we present a novel approach for solving the obstacle problem for (linear)
conservation laws. Usually, given a conservation law with an initial datum, the solution is …

We present a minimal computational model to mimic the crowd in marathon race. We aim to
examine the influence of frontliners on crowd dynamics by comparing the simulated races …

The kinetic modeling approach can be applied effectively to model collective behavior of
human crowds. The present chapter reviews the kinetic modeling of crowd dynamics with …

This chapter provides an introduction to the contents of this edited volume. In keeping with
the style of the previous edited volumes, we also consider research perspectives. The first …

The contents of this editorial is proposed in three parts devoted to the modeling and
simulation of mutating virus pandemics in a globally connected world. The presentation is as …

This paper considers the kinetic theory approach to model the behavior of pedestrian social
groups in bounded domain. A social group is defined as individuals who have social ties …