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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/28570
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dc.contributor.authorCao, Jia-Fengen
dc.contributor.authorDu, Yihongen
dc.contributor.authorLi, Fangen
dc.contributor.authorLi, Wan-Tongen
dc.date.accessioned2020-04-20T01:06:36Z-
dc.date.available2020-04-20T01:06:36Z-
dc.date.issued2019-
dc.identifier.citationJournal of Functional Analysis, 277(8), p. 2772-2814en
dc.identifier.issn1096-0783en
dc.identifier.issn0022-1236en
dc.identifier.urihttps://hdl.handle.net/1959.11/28570-
dc.description.abstractWe introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in [16]and elsewhere, where “local diffusion” is used to describe the population dispersal, with the free boundary representing the spreading front of the species. We show that this nonlocal problem has a unique solution defined for all time, and then examine its long-time dynamical behavior when the growth function is of Fisher-KPP type. We prove that a spreading-vanishing dichotomy holds, though for the spreading-vanishing criteria significant differences arise from the well known local diffusion model in [16].en
dc.languageenen
dc.publisherElsevier Incen
dc.relation.ispartofJournal of Functional Analysisen
dc.titleThe dynamics of a Fisher-KPP nonlocal diffusion model with free boundariesen
dc.typeJournal Articleen
dc.identifier.doi10.1016/j.jfa.2019.02.013en
local.contributor.firstnameJia-Fengen
local.contributor.firstnameYihongen
local.contributor.firstnameFangen
local.contributor.firstnameWan-Tongen
local.relation.isfundedbyARCen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.grant.numberDP190103757en
local.grant.number11431005en
local.grant.number11671180en
local.grant.number11731005en
local.grant.number16ZR1409600en
local.grant.number201606180067en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeUnited States of Americaen
local.format.startpage2772en
local.format.endpage2814en
local.identifier.scopusid85062039680en
local.peerreviewedYesen
local.identifier.volume277en
local.identifier.issue8en
local.contributor.lastnameCaoen
local.contributor.lastnameDuen
local.contributor.lastnameLien
local.contributor.lastnameLien
dc.identifier.staffune-id:yduen
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/28570en
dc.identifier.academiclevelStudenten
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleThe dynamics of a Fisher-KPP nonlocal diffusion model with free boundariesen
local.relation.fundingsourcenoteNational Natural Science Foundation of China, NSF of Shanghai, China Scholarship Councilen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP190103757en
local.search.authorCao, Jia-Fengen
local.search.authorDu, Yihongen
local.search.authorLi, Fangen
local.search.authorLi, Wan-Tongen
local.istranslatedNoen
local.uneassociationYesen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000481726600011en
local.year.published2019en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/5983d9c2-396d-4ed3-8033-b2b8ee3b248aen
local.subject.for2020490410 Partial differential equationsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.codeupdate.date2021-10-29T10:15:23.032en
local.codeupdate.epersonydu@une.edu.auen
local.codeupdate.finalisedtrueen
local.original.for2020490410 Partial differential equationsen
local.original.seo2020280118 Expanding knowledge in the mathematical sciencesen
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