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Population invasion with bistable dynamics and adaptive evolution: the evolutionary rescue

hal.structure.identifierInstitut Montpelliérain Alexander Grothendieck [IMAG]
dc.contributor.authorALFARO, Matthieu
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
dc.date2018
dc.date.accessioned2024-04-04T03:06:51Z
dc.date.available2024-04-04T03:06:51Z
dc.date.issued2018
dc.identifier.issn0002-9939
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193376
dc.description.abstractEnWe consider the system of reaction-diffusion equations proposed in [8] as a population dynamics model. The first equation stands for the population density and models the ecological effects, namely dispersion and growth with a Allee effect (bistable nonlinearity). The second one stands for the Allee threshold, seen as a trait mean, and accounts for evolutionary effects. Precisely, the Allee threshold is submitted to three main effects: dispersion (mirroring ecology), asymmetrical gene flow and selection. The strength of the latter depends on the population density and is thus coupling ecology and evolution. Our main result is to mathematically prove evolutionary rescue: any small initial population, that would become extinct in the sole ecological context, will persist and spread thanks to evolutionary factors.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.subject.enlong time behaviour
dc.subject.enenergy method
dc.subject.enevolutionary rescue
dc.subject.enAllee effect
dc.subject.enReaction-diffusion system
dc.title.enPopulation invasion with bistable dynamics and adaptive evolution: the evolutionary rescue
dc.typeArticle de revue
dc.identifier.doi10.1090/proc/14150
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1801.07024
bordeaux.journalProceedings of the American Mathematical Society
bordeaux.page4787-4799
bordeaux.volume146
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01689332
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01689332v1
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