Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 340
A kinetic model for crowd motion: Influence of geometry of domain on the emergency evacuation
Nouamane Bakhdil, Abdelghani El Mousaoui, Abdelilah Hakim
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2291
April 15, 2291

Abstract: In the current paper, a kinetic theory approach is considered to model the emergency evacuation of pedestrians from a bounded domain includes walls, exits, and obstacles. The interactions of a person with other pedestrians are modeled by using tools of game theory. The heterogeneity of individual behaviors is introduced into the model by an activity variable. Numerical simulations are based on a Monte Carlo particle method. They are presented to study the influence of the bottleneck and square domain, and the shape of obstacles on emergency evacuation.