@article{ref1,
title="A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries",
journal="Mathematical biosciences and engineering",
year="2020",
author="Bürger, Raimund and Goatin, Paola and Inzunza, Daniel and Villada, Luis Miguel",
volume="17",
number="5",
pages="5883-5906",
abstract="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, 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.<p /> <p>Language: en</p>",
language="en",
issn="1547-1063",
doi="10.3934/mbe.2020314",
url="http://dx.doi.org/10.3934/mbe.2020314"
}