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Pathogens can slow down or reverse invasion fronts of their hosts

dc.contributor.authorHILKER, F.M.
dc.contributor.authorLEWIS, M.A.
dc.contributor.authorSENO, H.
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.authorMALCHOW, H.
dc.date.accessioned2024-04-04T03:03:14Z
dc.date.available2024-04-04T03:03:14Z
dc.date.issued2005
dc.identifier.issn1387-3547
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193052
dc.description.abstractEnInfectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a nonnative habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enAllee effect
dc.subject.enepidemiology
dc.subject.eninvasion
dc.subject.enpathogen
dc.subject.enreversal
dc.subject.enSI model
dc.subject.enslow-down
dc.subject.entravelling wave
dc.title.enPathogens can slow down or reverse invasion fronts of their hosts
dc.typeArticle de revue
dc.identifier.doi10.1007/s10530-005-5215-9
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halSciences du Vivant [q-bio]/Ecologie, Environnement/Santé
bordeaux.journalBiological Invasions
bordeaux.page817-832
bordeaux.volume7
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00195444
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00195444v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Biological%20Invasions&rft.date=2005&rft.volume=7&rft.spage=817-832&rft.epage=817-832&rft.eissn=1387-3547&rft.issn=1387-3547&rft.au=HILKER,%20F.M.&LEWIS,%20M.A.&SENO,%20H.&LANGLAIS,%20Michel&MALCHOW,%20H.&rft.genre=article


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