Disease contagion models coupled to crowd motion and mesh-free\n simulation

2021/01/05 by Parveena Samim Abdul Salam, Wolfgang Böck, Salam, Parveena Samim Abdul +5
Engineering · Environmental Science · #22E46 #53C35 #57S20 #Dynamical Systems (math.DS) #Evacuation and Crowd Dynamics #FOS: Mathematics #Landslides and related hazards #Traffic control and management

paper · pdf · doi:10.48550/arxiv.2101.01598

openalex publication_date 2021/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Modeling and simulation of disease spreading in pedestrian crowds has been\nrecently become a topic of increasing relevance. In this paper, we consider the\ninfluence of the crowd motion in a complex dynamical environment on the course\nof infection of the pedestrians. To model the pedestrian dynamics we consider a\nkinetic equation for multi-group pedestrian flow based on a social force model\ncoupled with an Eikonal equation. This model is coupled with a non-local SEIS\ncontagion model for disease spread, where besides the description of local\ncontacts also the influence of contact times has been modelled. Hydrodynamic\napproximations of the coupled system are derived. Finally, simulations of the\nhydrodynamic model are carried out using a mesh-free particle method. Different\nnumerical test cases are investigated including uni- and bi-directional flow in\na passage with and without obstacles.\n

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