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A NON-LOCAL PEDESTRIAN FLOW MODEL ACCOUNTING FOR ANISOTROPIC INTERACTIONS AND DOMAIN BOUNDARIES

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2020
dc.date.accessioned2025-01-10T15:15:13Z
dc.date.available2025-01-10T15:15:13Z
dc.date.issued2020
dc.description.abstractTHIS 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.
dc.formatapplication/pdf
dc.identifier.doi10.3934/mbe.2020314
dc.identifier.issn1551-0018
dc.identifier.issn1547-1063
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11138
dc.languagespa
dc.publisherMathematical Biosciences and Engineering
dc.relation.uri10.3934/mbe.2020314
dc.rightsPUBLICADA
dc.titleA NON-LOCAL PEDESTRIAN FLOW MODEL ACCOUNTING FOR ANISOTROPIC INTERACTIONS AND DOMAIN BOUNDARIES
dc.title.alternativeUN MODELO DE FLUJO PEATONAL NO LOCAL QUE TIENE EN CUENTA LAS INTERACCIONES ANISOTRÓPICAS Y LOS LÍMITES DE DOMINIO
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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