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NUMERICAL ANALYSIS OF A THREE-SPECIES CHEMOTAXIS MODEL

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2020
dc.date.accessioned2025-01-10T15:16:21Z
dc.date.available2025-01-10T15:16:21Z
dc.date.issued2020
dc.description.abstractA REACTION?DIFFUSION SYSTEM IS FORMULATED TO DESCRIBE THREE INTERACTING SPECIES WITHIN THE HASTINGS?POWELL (HP) FOOD CHAIN STRUCTURE WITH CHEMOTAXIS PRODUCED BY THREE CHEMICALS. WE CONSTRUCT A FINITE VOLUME (FV) SCHEME FOR THIS SYSTEM, AND IN COMBINATION WITH THE NON-NEGATIVITY AND A PRIORI ESTIMATES FOR THE DISCRETE SOLUTION, THE EXISTENCE OF A DISCRETE SOLUTION OF THE FV SCHEME IS PROVEN. IT IS SHOWN THAT THE SCHEME CONVERGES TO THE CORRESPONDING WEAK SOLUTION OF THE MODEL. THE CONVERGENCE PROOF USES TWO INGREDIENTS OF INTEREST FOR VARIOUS APPLICATIONS, NAMELY THE DISCRETE SOBOLEV EMBEDDING INEQUALITIES WITH GENERAL BOUNDARY CONDITIONS AND A SPACE?TIME COMPACTNESS ARGUMENT. FINALLY, NUMERICAL TESTS ILLUSTRATE THE MODEL AND THE BEHAVIOR OF THE FV SCHEME.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.camwa.2020.03.008
dc.identifier.issn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11226
dc.languagespa
dc.publisherCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.relation.uri10.1016/j.camwa.2020.03.008
dc.rightsPUBLICADA
dc.titleNUMERICAL ANALYSIS OF A THREE-SPECIES CHEMOTAXIS MODEL
dc.title.alternativeANÁLISIS NUMÉRICO DE UN MODELO DE QUIMIOTAXIS DE TRES ESPECIES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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