Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/3627
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dc.contributor.authorDu, Yihongen
dc.contributor.authorPeng, Ruien
dc.contributor.authorWang, Mingxinen
dc.date.accessioned2009-12-04T10:46:00Z-
dc.date.issued2009-
dc.identifier.citationJournal of Differential Equations, 246(10), p. 3932-3956en
dc.identifier.issn1090-2732en
dc.identifier.issn0022-0396en
dc.identifier.urihttps://hdl.handle.net/1959.11/3627-
dc.description.abstractIn this paper, we consider the diffusive Leslie predator-prey model with large intrinsic predator growth rate, and investigate the change of behavior of the model when a simple protection zone Ω₀ for the prey is introduced. As in earlier work [Y. Du, J. Shi. A diffusive predator-prey model with a protection zone. J. Differential Equations 229 [2006] 63-91: Y. Du. X. Liang. A diffusive competition model with a protection zone. J. Differential Equations 244 (2008) 61-86] we show the existence of a critical patch size of the protection zone, determined by the first Dirichlet eigenvalue of the Laplacian over Ω₀ and the intrinsic growth rate of the prey, so that there is fundamental change of the dynamical behavior of the model only when Ω₀ is above the critical patch size. However, our research here reveals significant difference of the model's behavior from the predator-prey model studies in [Y. Du, J. Shi, A diffusive predator-prey model with a protection some, J. Differential Equations 229 (2006) 63-91] with the same kind of protection zone. We show that the asymptotic profile of the population distribution of the Leslie model is governed by a standard boundary blow-up problem, and classical or degenerate logistic equations.en
dc.languageenen
dc.publisherAcademic Pressen
dc.relation.ispartofJournal of Differential Equationsen
dc.titleEffect of a protection zone in the diffusive Leslie predator-prey modelen
dc.typeJournal Articleen
dc.identifier.doi10.1016/j.jde.2008.11.007en
dc.subject.keywordsPartial Differential Equationsen
dc.subject.keywordsBiological Mathematicsen
local.contributor.firstnameYihongen
local.contributor.firstnameRuien
local.contributor.firstnameMingxinen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.for2008010202 Biological Mathematicsen
local.subject.seo2008970106 Expanding Knowledge in the Biological Sciencesen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.schoolScience and Technologyen
local.profile.schoolMathsen
local.profile.emailydu@une.edu.auen
local.profile.emailrpeng2@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20090721-17071en
local.publisher.placeUnited States of Americaen
local.format.startpage3932en
local.format.endpage3956en
local.identifier.scopusid63449134588en
local.peerreviewedYesen
local.identifier.volume246en
local.identifier.issue10en
local.contributor.lastnameDuen
local.contributor.lastnamePengen
local.contributor.lastnameWangen
dc.identifier.staffune-id:yduen
dc.identifier.staffune-id:rpeng2en
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:3717en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleEffect of a protection zone in the diffusive Leslie predator-prey modelen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorDu, Yihongen
local.search.authorPeng, Ruien
local.search.authorWang, Mingxinen
local.uneassociationUnknownen
local.identifier.wosid000265443900007en
local.year.published2009en
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