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

Nicola Bellomo, Livio Gibelli

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)2417-2437
Number of pages21
JournalMathematical Models and Methods in Applied Sciences
Volume25
Issue number13
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • active particles
  • crowd dynamics
  • kinetic theory
  • pedestrian segregation
  • Scaling

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