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Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure

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
dc.date.accessioned2024-04-04T02:36:49Z
dc.date.available2024-04-04T02:36:49Z
dc.date.issued2003-01-20
dc.identifier.issn0022-0396
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190750
dc.description.abstractEnthis work, we consider a one species population dynamics model with character dependence, spatial structure and a nonlocal renewal process arising as a boundary condition. The individual interaction are based on Boltzmann kinetic-type modeling. Using fixed point arguments and the div-rot lemma, we prove that our model admits a unique global nonnegative solution.
dc.language.isoen
dc.publisherElsevier
dc.subject.enPopulation dynamics
dc.subject.enDiffusion
dc.subject.enKinetic models
dc.subject.enNonlocal boundary conditions
dc.subject.enQuadratic integro-differential interactions
dc.title.enExistence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure
dc.typeArticle de revue
dc.identifier.doi10.1016/S0022-0396(02)00082-7
dc.subject.halStatistiques [stat]/Calcul [stat.CO]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Differential Equations
bordeaux.page293-309
bordeaux.volume187
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00391835
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00391835v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Differential%20Equations&rft.date=2003-01-20&rft.volume=187&rft.issue=2&rft.spage=293-309&rft.epage=293-309&rft.eissn=0022-0396&rft.issn=0022-0396&rft.au=NOUSSAIR,%20Ahmed&AINSEBA,%20Bedr'Eddine&rft.genre=article


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