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Qualitative analysis and traveling wave solutions for the SI model with vertical transmission

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANGLAIS, Michel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
dc.date.accessioned2024-04-04T02:25:01Z
dc.date.available2024-04-04T02:25:01Z
dc.date.issued2011-09
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189854
dc.description.abstractEnIn this note we analyze a spatially structured SI epidemic model with vertical transmission, a logistic effect on vital dynamics and a density dependent incidence. For a bounded spatial domain we show global stability of the endemic state when it is feasible. Then we look at the existence of travelling wave solutions connecting the endemic and the disease free states.
dc.language.isoen
dc.subject.enSpatially structured SI model
dc.subject.englobal stability
dc.subject.entravelling wave solutions
dc.title.enQualitative analysis and traveling wave solutions for the SI model with vertical transmission
dc.typeArticle de revue
dc.identifier.doi10.3934/cpaa.2012.11.97
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalCommunications in Pure and Applied Analysis
bordeaux.page97-113
bordeaux.volume11
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00706949
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00706949v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Pure%20and%20Applied%20Analysis&rft.date=2011-09&rft.volume=11&rft.issue=1&rft.spage=97-113&rft.epage=97-113&rft.au=DUCROT,%20Arnaud&LANGLAIS,%20Michel&MAGAL,%20Pierre&rft.genre=article


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