Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds-Reference-Cited by-同舟云学术

Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds

Published:2015-09-17 Issue:13 Volume:25 Page:2417-2437
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Bellomo Nicola¹,Gibelli Livio²

Affiliation:

1. Department of Mathematics, Faculty Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

2. Department of Mathematical Sciences, Politecnico di Torino Corso Duca degli Abruzzi 24, 10129 Torino, Italy

Abstract

This paper presents a new approach to behavioral-social dynamics for pedestrian crowds by suitable development of mathematical tools of the kinetic theory. It is shown how pedestrians heterogeneity and the propagation of local unusual behaviors in the crowd can be accounted for. The proposed model is applied to the study of two groups of pedestrians walking in opposite directions in a crowded street and its predictive ability is demonstrated by showing that emerging behaviors, such as pedestrian segregation, can be depicted.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202515400138

Reference30 articles.

1. A kinetic theory approach to the dynamics of crowd evacuation from bounded domains

2. Towards a mathematical theory of complex socio-economical systems by functional subsystems representation

3. Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics

4. Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

5. Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

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