1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …

This review paper is devoted to study the conceptual difficulties that mathematics meets
when attempting to describe the complexity of living matter focusing on the challenging …

Crowds can be subject to intrinsic and extrinsic sources of risk, and previous records have
shown that, in the absence of adequate safety measures, these sources of risk can …

This article focuses on Herbert A. Simon's visionary theory of the Artificial World. The artificial
world evolves over time as a result of various actions, including interactions with the external …

This paper proposes a kinetic theory approach coupling together the modeling of crowd
evacuation from a bounded domain with exit doors and infectious disease contagion. The …

The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …

This paper deals with the micro–macro-derivation of virus models coupled with a reaction–
diffusion system that generates the dynamics in space of the virus particles. The first part of …

In this paper, we present a new generalized Hughes model designed to intelligently depict
pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or …

We introduce a new consensus-based optimization (CBO) method where an interacting
particle system is driven by jump-diffusion stochastic differential equations (SDEs). We study …

This paper presents a survey of advanced concepts and research perspectives, of a
philosophical-mathematical approach to describe the dynamics of systems of many …