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A reaction–diffusion system modeling predator–prey with prey-taxis

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorNOUSSAIR, Ahmed
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
dc.contributor.authorAINSEBA, Bedr'Eddine
hal.structure.identifierCentro de Investigación en Ingeniería Matemática [Concepción] [CI²MA]
dc.contributor.authorBENDAHMANE, Mostafa
dc.date.accessioned2024-04-04T02:36:51Z
dc.date.available2024-04-04T02:36:51Z
dc.date.issued2008-12-04
dc.identifier.issn1468-1218
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190753
dc.description.abstractEnWe are concerned with a system of nonlinear partial differential equations modeling the Lotka–Volterra interactions of predators and preys in the presence of prey-taxis and spatial diffusion. The spatial and temporal variations of the predator's velocity are determined by the prey gradient. We prove the existence of weak solutions by using Schauder fixed-point theorem and uniqueness via duality technique. The linearized stability around equilibrium is also studied. A finite volume scheme is build and numerical simulation show interesting phenomena of pattern formation.
dc.language.isoen
dc.publisherElsevier
dc.subject.enReaction–diffusion system
dc.subject.enPredator–prey
dc.subject.enPrey-taxis
dc.subject.enFinite volume scheme
dc.title.enA reaction–diffusion system modeling predator–prey with prey-taxis
dc.typeArticle de revue
dc.subject.halStatistiques [stat]/Calcul [stat.CO]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalNonlinear Analysis: Real World Applications
bordeaux.page2086-2105
bordeaux.volume9
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00391778
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00391778v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Analysis:%20Real%20World%20Applications&rft.date=2008-12-04&rft.volume=9&rft.issue=5&rft.spage=2086-2105&rft.epage=2086-2105&rft.eissn=1468-1218&rft.issn=1468-1218&rft.au=NOUSSAIR,%20Ahmed&AINSEBA,%20Bedr'Eddine&BENDAHMANE,%20Mostafa&rft.genre=article


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