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dc.contributor.authorANITA, Sebastian
dc.contributor.authorFITZGIBBON, W.E.
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.authorLANGLAIS, Michel
dc.date.accessioned2024-04-04T02:40:54Z
dc.date.available2024-04-04T02:40:54Z
dc.date.issued2009-06-01
dc.identifier.issn1531-3492
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191101
dc.description.abstractEnWe consider a two-component Reaction-Diffusion system posed on non coincident spatial domains and featuring a reaction term involving an integral kernel. The question of global existence of componentwise nonnega- tive solutions is assessed. Then we investigate the stabilization of one of the solution components to zero via an internal control distributed on a small sub- domain while preserving nonnegativity of both components. Our results apply to predator-prey systems.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.subjectReaction-diffusion systems
dc.subjectnon coincident spatial domains
dc.subjectglobal existence
dc.subjectstabilization
dc.subjectprincipal eigenvalue
dc.subjectpredator-prey model
dc.title.enGlobal Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains
dc.typeArticle de revue
dc.identifier.doi10.3934/dcdsb.2009.11.xx
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalDiscrete and Continuous Dynamical Systems - Series B
bordeaux.page805-822
bordeaux.volume11
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-00372932
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00372932v1
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