Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31904
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dc.contributor.authorDu, Yihongen
dc.contributor.authorWang, Mingxinen
dc.contributor.authorZhao, Mengen
dc.date.accessioned2021-11-12T00:24:55Z-
dc.date.available2021-11-12T00:24:55Z-
dc.date.issued2022-03-
dc.identifier.citationDiscrete and Continuous Dynamical Systems. Series A, 42(3), p. 1127-1162en
dc.identifier.issn1553-5231en
dc.identifier.issn1078-0947en
dc.identifier.urihttps://hdl.handle.net/1959.11/31904-
dc.description.abstract<p>We study a class of free boundary systems with nonlocal diffusion, which are natural extensions of the corresponding free boundary problems of reaction diffusion systems. As before the free boundary represents the spreading front of the species, but here the population dispersal is described by "nonlocal diffusion" instead of "local diffusion". We prove that such a nonlocal diffusion problem with free boundary has a unique global solution, and for models with Lotka-Volterra type competition or predator-prey growth terms, we show that a spreading-vanishing dichotomy holds, and obtain criteria for spreading and vanishing; moreover, for the weak competition case and for the weak predation case, we can determine the long-time asymptotic limit of the solution when spreading happens. Compared with the single species free boundary model with nonlocal diffusion considered recently in [7], and the two species cases with local diffusion extensively studied in the literature, the situation considered in this paper involves several new difficulties, which are overcome by the use of some new techniques.</p>en
dc.languageenen
dc.publisherAIMS Pressen
dc.relation.ispartofDiscrete and Continuous Dynamical Systems. Series Aen
dc.titleTwo species nonlocal diffusion systems with free boundariesen
dc.typeJournal Articleen
dc.identifier.doi10.3934/dcds.2021149en
local.contributor.firstnameYihongen
local.contributor.firstnameMingxinen
local.contributor.firstnameMengen
local.relation.isfundedbyARCen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.grant.numberDP190103757en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeUnited States of Americaen
local.identifier.runningnumber2021149en
local.format.startpage1127en
local.format.endpage1162en
local.identifier.scopusid85117865738en
local.peerreviewedYesen
local.identifier.volume42en
local.identifier.issue3en
local.contributor.lastnameDuen
local.contributor.lastnameWangen
local.contributor.lastnameZhaoen
dc.identifier.staffune-id:yduen
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/31904en
local.date.onlineversion2021-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleTwo species nonlocal diffusion systems with free boundariesen
local.relation.fundingsourcenoteM. Wang was supported by NSFC Grant 11771110. M. Zhao was supported by NWNU-LKQN2021-16 and a scholarship from the China Scholarship Council.en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP190103757en
local.search.authorDu, Yihongen
local.search.authorWang, Mingxinen
local.search.authorZhao, Mengen
local.uneassociationYesen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000748648600004en
local.year.available2021en
local.year.published2022en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/ebcb2aab-9be3-457e-965a-611a7b38d501en
local.subject.for2020490410 Partial differential equationsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
local.codeupdate.date2021-11-12T13:57:30.133en
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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School of Science and Technology
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