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hal.structure.identifierCentro de Investigación en Ingeniería Matemática [Concepción] [CI²MA]
dc.contributor.authorBENDAHMANE, Mostafa
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.accessioned2024-04-04T02:28:05Z
dc.date.available2024-04-04T02:28:05Z
dc.date.issued2010
dc.identifier.issn1424-3199
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190069
dc.description.abstractEnWe provide existence results for nonnegative solutions to a class of reaction-diffusion systems with cross-diffusion modeling the spread of an epidemic disease. The existence of weak solutions is proved by means of an approximation process, the Faedo-Galerkin method, and a compactness argument. Under additional assumptions a global existence result for classical solutions is derived upon using interpolation results between Banach spaces.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enS-I-R model
dc.subject.encross-diffusion system
dc.subject.enweak solutions
dc.subject.enFaedo-Galerkin
dc.subject.enclassical solution
dc.title.enA reaction-diffusion system with cross-diffusion modelling the spread of an epidemic disease
dc.typeArticle de revue
dc.identifier.doi10.1007/s00028-010-0074-y
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Evolution Equations
bordeaux.page883-904
bordeaux.volume10
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-00541283
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00541283v1
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