TY  - JOUR
PY  - 2020//
TI  - A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries
JO  - Mathematical biosciences and engineering
A1  - Bürger, Raimund
A1  - Goatin, Paola
A1  - Inzunza, Daniel
A1  - Villada, Luis Miguel
SP  - 5883
EP  - 5906
VL  - 17
IS  - 5
N2  - 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>
LA  - en
SN  - 1547-1063
UR  - http://dx.doi.org/10.3934/mbe.2020314
ID  - ref1
ER  -