Toward a Mathematical Theory of Behavioral-Social Dynamics for Pedestrian Crowds

TL;DR

This paper develops a kinetic theory-based mathematical framework to analyze how individual behaviors influence collective pedestrian crowd dynamics and how local behaviors propagate within the crowd.

Contribution

It introduces a novel kinetic theory approach to model the interplay between individual social behaviors and crowd dynamics, highlighting the impact of heterogeneity and local behaviors.

Findings

Heterogeneous behaviors significantly alter crowd movement patterns.

Local unusual behaviors can propagate through the crowd.

The kinetic theory approach provides detailed insights into social interactions.

Abstract

This paper presents a new approach to behavioral-social dynamics of pedestrian crowds by suitable development of methods of the kinetic theory. It is shown how heterogeneous individual behaviors can modify the collective dynamics, as well as how local unusual behaviors can propagate in the crowd. The main feature of this approach is a detailed analysis of the interactions between dynamics and social behaviors.