A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries

This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lecureux-Mercier. A class of nonlocal models for pedestrian traffic. Math. Models Methods Appl. Sci, 22(4):1150023, 2012] to account for anisotropic interactions and the presence of wa...

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Veröffentlicht in:Mathematical Biosciences and Engineering 2020-09, Vol.17 (5), p.5883-5906
Hauptverfasser: Burger, Raimund, Goatin, Paola, Inzunza, Daniel, Villada, Luis Miguel
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Sprache:eng
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Zusammenfassung:This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lecureux-Mercier. A class of nonlocal models for pedestrian traffic. Math. Models Methods Appl. Sci, 22(4):1150023, 2012] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and we apply high-resolution numerical schemes to illustrate the model characteristics. In particular, numerical simulations highlight the role of different model parameters in the observed pattern formation.
ISSN:1547-1063
1551-0018
DOI:10.3934/mbe.2020314