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A mathematical model for indirectly transmitted diseases

dc.contributor.authorFITZGIBBON, W.E.
hal.structure.identifierTools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLANGLAIS, Michel
dc.contributor.authorMORGAN, J.J.
dc.date.accessioned2024-04-04T03:03:17Z
dc.date.available2024-04-04T03:03:17Z
dc.date.issued2007
dc.identifier.issn0025-5564
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193057
dc.description.abstractEnWe consider a mathematical model for the indirect transmission via a contaminated environment of a microparasite between two spatially distributed host populations having non-coincident spatial domains. The parasite is benign in a first population and lethal in the second one. Global existence results are given for the resulting reaction–diffusion system coupled with an ordinary differential equation. Then, invasion and persistence of the parasite are studied. A simplified model for the transmission of a hantavirus from bank vole to human populations is then analysed.
dc.language.isoen
dc.publisherElsevier
dc.subject.enIndirectly transmitted disease
dc.subject.enReaction–diffusion systems
dc.subject.enGlobal existence
dc.subject.enInvasion and persistence
dc.subject.enHantavirus
dc.title.enA mathematical model for indirectly transmitted diseases
dc.typeArticle de revue
dc.identifier.doi10.1016/j.mbs.2005.07.005
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalMathematical Biosciences
bordeaux.page233-248
bordeaux.volume206
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00195426
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00195426v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Biosciences&rft.date=2007&rft.volume=206&rft.spage=233-248&rft.epage=233-248&rft.eissn=0025-5564&rft.issn=0025-5564&rft.au=FITZGIBBON,%20W.E.&LANGLAIS,%20Michel&MORGAN,%20J.J.&rft.genre=article


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