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A REACTION-DIFFUSION PREDATOR-PREY MODEL WITH PURSUIT, EVASION, AND NONLOCAL SENSING

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2019
dc.date.accessioned2025-01-10T15:10:56Z
dc.date.available2025-01-10T15:10:56Z
dc.date.issued2019
dc.description.abstractIN THIS PAPER, WE PROPOSE AND ANALYZE A REACTION-DIFFUSION MODEL FOR PREDATOR-PREY INTERACTION, FEATURING BOTH PREY AND PREDATOR TAXIS MEDIATED BY NONLOCAL SENSING. BOTH PREDATOR AND PREY DENSITIES ARE GOVERNED BY PARABOLIC EQUATIONS. THE PREY AND PREDATOR DETECT EACH OTHER INDIRECTLY BY MEANS OF ODOR OR VISIBILITY FIELDS, MODELED BY ELLIPTIC EQUATIONS. WE PROVIDE UNIFORM ESTIMATES IN LEBESGUE SPACES WHICH LEAD TO BOUNDEDNESS AND THE GLOBAL WELL-POSEDNESS FOR THE SYSTEM. NUMERICAL EXPERIMENTS ARE PRESENTED AND DISCUSSED, ALLOWING US TO SHOWCASE THE DYNAMICAL PROPERTIES OF THE SOLUTIONS.
dc.formatapplication/pdf
dc.identifier.doi10.3934/mbe.2019257
dc.identifier.issn1551-0018
dc.identifier.issn1547-1063
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10809
dc.languagespa
dc.publisherMathematical Biosciences and Engineering
dc.relation.uri10.3934/mbe.2019257
dc.rightsPUBLICADA
dc.titleA REACTION-DIFFUSION PREDATOR-PREY MODEL WITH PURSUIT, EVASION, AND NONLOCAL SENSING
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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