Publicación: A NON-LOCAL PEDESTRIAN FLOW MODEL ACCOUNTING FOR ANISOTROPIC INTERACTIONS AND DOMAIN BOUNDARIES
Fecha
2020
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Mathematical Biosciences and Engineering
Resumen
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.
