Work

A Class of Non-Local Models for Pedestrian Traffic

Year: 2011

Type: preprint

Abstract: We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a conservation law with a nonlocal flux. Each equation in this class generates a Lipschitz semigroup of solutions and is stable with respect to the functions and parameters defining it. Moreover, key qualitative properties such as the boundedness of the crowd density are proved. Specific models are presented and their qualitative properties are shown through numerical integrations.

DOI: 10.48550/arxiv.1104.2985

Authors: Colombo, Rinaldo M., Garavello, Mauro, Lécureux-Mercier, Magali

Institution: Laboratoire de Mathématiques Analyse, Probabilités, Modélisation Orléans

Language: English

Topic: Evacuation and Crowd Dynamics

Subfield: Ocean Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Sustainable cities and communities

Open Access status: green

OpenAlex ID: W2949219694

Cites: 13

Cited by: 3

Related to: 20