Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/20227
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dc.contributor.authorLei, Chengxiaen
dc.contributor.authorDu, Yihongen
dc.date.accessioned2017-03-21T16:03:00Z-
dc.date.issued2017-
dc.identifier.citationDiscrete and Continuous Dynamical Systems. Series B, 22(3), p. 895-911en
dc.identifier.issn1553-524Xen
dc.identifier.issn1531-3492en
dc.identifier.urihttps://hdl.handle.net/1959.11/20227-
dc.description.abstractWe give a complete description of the long-time asymptotic profile of the solution to a free boundary model considered recently in [10]. This model describes the spreading of an invasive species in an environment which shifts with a constant speed, and the research of [10] indicates that the species may vanish, or spread successfully, or fall in a borderline case. In the case of successful spreading, the long-time behavior of the population is not completely understood in [10]. Here we show that the spreading of the species is governed by two traveling waves, one has the speed of the shifting environment, giving the profile of the retreating tail of the population, while the other has a faster speed determined by a semi-wave, representing the profile of the advancing front of the population.en
dc.languageenen
dc.publisherAIMS Pressen
dc.relation.ispartofDiscrete and Continuous Dynamical Systems. Series Ben
dc.titleAsymptotic Profile of the Solution to a Free Boundary Problem Arising in a Shifting Climate Modelen
dc.typeJournal Articleen
dc.identifier.doi10.3934/dcdsb.2017045en
dc.subject.keywordsBiological Mathematicsen
dc.subject.keywordsPartial Differential Equationsen
local.contributor.firstnameChengxiaen
local.contributor.firstnameYihongen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.for2008010202 Biological Mathematicsen
local.subject.seo2008970105 Expanding Knowledge in the Environmental Sciencesen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.subject.seo2008970106 Expanding Knowledge in the Biological Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailclei2@une.edu.auen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20170302-093830en
local.publisher.placeUnited States of Americaen
local.format.startpage895en
local.format.endpage911en
local.identifier.scopusid85014400722en
local.peerreviewedYesen
local.identifier.volume22en
local.identifier.issue3en
local.contributor.lastnameLeien
local.contributor.lastnameDuen
dc.identifier.staffune-id:clei2en
dc.identifier.staffune-id:yduen
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:20425en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleAsymptotic Profile of the Solution to a Free Boundary Problem Arising in a Shifting Climate Modelen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP150101867en
local.search.authorLei, Chengxiaen
local.search.authorDu, Yihongen
local.uneassociationUnknownen
local.identifier.wosid000392398900013en
local.year.published2017en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/423acd7a-c8a8-4c21-a450-9b919cd41c05en
local.subject.for2020490102 Biological mathematicsen
local.subject.for2020490410 Partial differential equationsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.subject.seo2020280111 Expanding knowledge in the environmental sciencesen
local.subject.seo2020280102 Expanding knowledge in the biological sciencesen
local.codeupdate.date2021-11-05T11:03:48.556en
local.codeupdate.epersonydu@une.edu.auen
local.codeupdate.finalisedtrueen
local.original.for2020490410 Partial differential equationsen
local.original.for2020490102 Biological mathematicsen
local.original.seo2020280111 Expanding knowledge in the environmental sciencesen
local.original.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.original.seo2020280102 Expanding knowledge in the biological sciencesen
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