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Numerical investigation of the effect of macro control measures on epidemic transport via a coupled PDE crowd flow - epidemic spreading dynamics model

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  • Delis, A.I.
  • Bekiaris-Liberis, N.

Abstract

This work aims to provide an approach to the macroscopic modeling and simulation of pedestrian flow, coupled with contagion spreading, for a numerical investigation of the effect of certain macro-control measures on epidemic transport dynamics. Numerical approximations are considered for the coupled model along with numerical tests and results. In particular, we investigate the effect of employment of different, epidemics transport control measures in real time. Such simulations of disease spreading in a moving crowd can potentially provide valuable information about the risks of infection in relevant situations and support the design of systematic intervention/control measures.

Suggested Citation

  • Delis, A.I. & Bekiaris-Liberis, N., 2026. "Numerical investigation of the effect of macro control measures on epidemic transport via a coupled PDE crowd flow - epidemic spreading dynamics model," Applied Mathematics and Computation, Elsevier, vol. 513(C).
    • Handle: RePEc:eee:apmaco:v:513:y:2026:i:c:s0096300325005144
    DOI: 10.1016/j.amc.2025.129789
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    References listed on IDEAS

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    1. Hughes, Roger L., 2002. "A continuum theory for the flow of pedestrians," Transportation Research Part B: Methodological, Elsevier, vol. 36(6), pages 507-535, July.
    2. Jiang, Yan-Qun & Zhou, Shu-Guang & Tian, Fang-Bao, 2015. "A higher-order macroscopic model for bi-direction pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 425(C), pages 69-78.
    3. Julien Arino & P. van den Driessche, 2003. "A multi-city epidemic model," Mathematical Population Studies, Taylor & Francis Journals, vol. 10(3), pages 175-193.
    4. repec:plo:pcbi00:1003716 is not listed on IDEAS
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