Raimund Bürger, Paola Goatin, Daniel Inzunza, Luis M. Villada:
A non-local pedestrian flow model accounting for anisotropic interactions and walking domain boundaries
This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lécureux-Mercier. A class of nonlocal models for pedestrian traffic. Math. Models Methods Appl. Sci., 22(4):1150023, 34, 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.
This preprint gave rise to the following definitive publication(s):
Raimund BüRGER, Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Mathematical Biosciences and Engineering, vol. 17, 5, pp. 5883-5906, (2020).