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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
dc.contributor.authorANAYA, Veronica
dc.contributor.authorSEPÚLVEDA, Mauricio
dc.date.accessioned2024-04-04T03:22:16Z
dc.date.available2024-04-04T03:22:16Z
dc.date.created2010
dc.date.issued2010
dc.identifier.issn1556-1801
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194740
dc.description.abstractEnIn this paper, we prove existence results for a Predator-prey system in a polluted environment. The existence result is proved by the Schauder fixed-point theorem. Moreover, we construct a combined finite volume - finite element scheme to our model, we establish existence of discrete solutions to this scheme, and show that it converges to a weak solution. The convergence proof is based on deriving series of a priori estimates and using a general L^p compactness criterion. Finally we give some numerical examples.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.title.enMathematical and numerical analysis for Predator-prey system in a polluted environment
dc.typeArticle de revue
dc.identifier.doi10.3934/nhm.2010.5.813
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalNetworks and Heterogeneous Media
bordeaux.page813 - 847
bordeaux.volume5
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01015864
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01015864v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Networks%20and%20Heterogeneous%20Media&rft.date=2010&rft.volume=5&rft.issue=4&rft.spage=813%20-%20847&rft.epage=813%20-%20847&rft.eissn=1556-1801&rft.issn=1556-1801&rft.au=BENDAHMANE,%20Mostafa&ANAYA,%20Veronica&SEP%C3%9ALVEDA,%20Mauricio&rft.genre=article


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