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

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 …

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 study crowd dynamics by means of both non-atomic and atomic differential games,
which are also known as macroscopic and microscopic models, respectively; and we …

We study the validity of the dissipative Aw-Rascle system as a macroscopic model for
pedestrian dynamics. The model uses a congestion term (a singular diffusion term) to …

A kinetic modeling of crowd evacuation with leaders and followers is considered in this
paper, in which the followers may not know the full information about the walking …

This editorial is dedicated to presenting the papers published in a special issue focused on
modeling, qualitative analysis and simulation of the collective dynamics of systems in …

We provide well-posedness theory of a nonlinear structured population model on an
abstract metric space which is only assumed to be separable and complete. To this end, we …

In contemporary society, the effective utilization of public resources remains a subject of
significant concern. A common issue arises from defectors seeking to obtain an excessive …