A mesoscopic model for the effect of density on pedestrian group dynamics

Zanlungo, F. and Kanda, T. (2015) A mesoscopic model for the effect of density on pedestrian group dynamics. EPL, 111(3), p. 38007. ISSN (print) 0295-5075

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Abstract

We introduce a mesoscopic model of pedestrian group behaviour, in which the internal group dynamics is modelled using a microscopic potential, while the effect of the environment is modelled using a harmonic term whose intensity depends on a macroscopic quantity, crowd density. We show that, in order to properly describe the behaviour of 2-person groups, the harmonic term is directed orthogonally to the walking direction, and its intensity grows linearly with density. We also show that, once calibrated on 2-person groups, the model correctly predicts the velocity and spatial extension of 3-person groups in the walking direction, while in order to describe properly also the abreast extension of 3-person groups a modification in the microscopic group dynamics has to be introduced. The model also correctly predicts the presence of a bifurcation phenomenon, namely the emergence of a stable 3-person Λ configuration at high densities, while only the V formation is stable at low densities.

Item Type: Article
Research Area: Applied mathematics
Faculty, School or Research Centre: Faculty of Science, Engineering and Computing (until 2017)
Depositing User: Jennifer May
Date Deposited: 24 Aug 2016 13:45
Last Modified: 25 Aug 2016 13:07
DOI: https://doi.org/10.1209/0295-5075/111/38007
URI: http://eprints.kingston.ac.uk/id/eprint/35771

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