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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANGLAIS, Michel
dc.date.accessioned2024-04-04T02:17:41Z
dc.date.available2024-04-04T02:17:41Z
dc.date.issued2013
dc.identifier.issn1556-1801
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189252
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. The dynamics of the underlying system of ordinary differential equations are first shown to exhibit an infinite number of heteroclinic orbits connecting the trivial equilibrium with an interior equilibrium. Our mathematical study of the corresponding reaction-diffusion system is concerned with travelling wave solutions. Based on a detailed study of the center-unstable manifold around the interior equilibrium, we are able to prove the existence of an infinite number of travelling wave solutions connecting the trivial equilibrium and the interior equilibrium.
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.title.enMultiple travelling waves for an SI-epidemic model
dc.typeArticle de revue
dc.identifier.doi10.3934/nhm.2013.8.171
dc.subject.halMathématiques [math]
bordeaux.journalNetworks and Heterogeneous Media
bordeaux.page171-190
bordeaux.volume8
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-00993062
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00993062v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Networks%20and%20Heterogeneous%20Media&rft.date=2013&rft.volume=8&rft.issue=1&rft.spage=171-190&rft.epage=171-190&rft.eissn=1556-1801&rft.issn=1556-1801&rft.au=MAGAL,%20Pierre&DUCROT,%20Arnaud&LANGLAIS,%20Michel&rft.genre=article


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