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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
dc.date.accessioned2024-04-04T02:17:47Z
dc.date.available2024-04-04T02:17:47Z
dc.date.issued2013
dc.identifier.issn0021-7824
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189260
dc.description.abstractEnThis manuscript is devoted to the study of some spreading properties of Holling-Tanner prey-predator reaction-diffusion system. We more particularly focus on the invasion of introduced predator in some environment which is initially well-populated of prey. We first prove that, for the arbitrary dimensional problem, the system has a spreading speed property. We derive more precise information for the one-dimensional system for which the long time behaviour is studied and it is proved that the solution converges (in some sense) towards a generalized transition wave with some determined global mean speed of propagation
dc.language.isoen
dc.publisherElsevier
dc.title.enConvergence to generalized transition waves for some Holling-Tanner prey- predator reaction-diffusion system
dc.typeArticle de revue
dc.identifier.doi10.1016/j.matpur.2012.10.009
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal de Mathématiques Pures et Appliquées
bordeaux.page1-15
bordeaux.volume100
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-00992776
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00992776v1
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