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Disease contagion models coupled to crowd motion and mesh-free simulation
Tu Kaiserslautern, Germany;Iit Madras, India.
Tu Kaiserslautern, Germany.ORCID iD: 0000-0002-8400-0416
Tu Kaiserslautern, Germany.
Tu Kaiserslautern, Germany.
2021 (English)In: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 31, no 6, p. 1277-1295Article in journal (Refereed) Published
Abstract [en]

Modeling and simulation of disease spreading in pedestrian crowds have recently become a topic of increasing relevance. In this paper, we consider the influence of the crowd motion in a complex dynamical environment on the course of infection of the pedestrians. To model the pedestrian dynamics, we consider a kinetic equation for multi-group pedestrian flow based on a social force model coupled with an Eikonal equation. This model is coupled with a non-local SEIS contagion model for disease spread, where besides the description of local contacts, the influence of contact times has also been modeled. Hydrodynamic approximations of the coupled system are derived. Finally, simulations of the hydrodynamic model are carried out using a mesh-free particle method. Different numerical test cases are investigated, including uni- and bi-directional flow in a passage with and without obstacles.

Place, publisher, year, edition, pages
World Scientific, 2021. Vol. 31, no 6, p. 1277-1295
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124523DOI: 10.1142/S0218202521400066ISI: 000674378900007Scopus ID: 2-s2.0-85104197764OAI: oai:DiVA.org:lnu-124523DiVA, id: diva2:1802891
Available from: 2023-10-06 Created: 2023-10-06 Last updated: 2023-10-17Bibliographically approved

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Bock, Wolfgang

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