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dc.contributor.authorBouin, Emeric
dc.contributor.authorHenderson, Christopher
dc.date.accessioned2017-12-14T16:09:19Z
dc.date.available2017-12-14T16:09:19Z
dc.date.issued2017
dc.identifier.issn0951-7715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17233
dc.language.isoenen
dc.subjectPDE
dc.subject.ddc515en
dc.titleSuper-linear spreading in local bistable cane toads equations
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper, we study the influence of an Allee effect on the spreading rate in a local reaction-diffusion-mutation equation modelling the invasion of cane toads in Australia. We are, in particular, concerned with the case when the diffusivity can take unbounded values. We show that the acceleration feature that arises in this model with a Fisher-KPP, or monostable, non-linearity still occurs when this non-linearity is instead bistable, despite the fact that this kills the small populations. This is in stark contrast to the work of Alfaro, Gui-Huan, and Mellet-Roquejoffre-Sire in related models, where the change to a bistable non-linearity prevents acceleration.
dc.relation.isversionofjnlnameNonlinearity
dc.relation.isversionofjnlvol30
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2017
dc.relation.isversionofjnlpagesn°1356
dc.relation.isversionofdoi10.1088/1361-6544/aa5d65
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01293988
dc.relation.isversionofjnlpublisherIOP Publishing
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-12-15T17:00:58Z


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