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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31886
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dc.contributor.authorMin, Naen
dc.contributor.authorNi, Wenjieen
dc.contributor.authorZhang, Hongyangen
dc.contributor.authorJin, Chaoyongen
dc.date.accessioned2021-11-11T03:20:22Z-
dc.date.available2021-11-11T03:20:22Z-
dc.date.issued2019-12-
dc.identifier.citationZeitschrift fuer Angewandte Mathematik und Physik, 70(6), p. 1-24en
dc.identifier.issn1420-9039en
dc.identifier.issn0044-2275en
dc.identifier.urihttps://hdl.handle.net/1959.11/31886-
dc.description.abstract<p>In this paper, we study a diffusive prey-predator model with Beddington-DeAngelis functional response when the intraspecific crowding effect for the prey population disappears in some subdomain Ω<sub>0</sub> of their whole habitat. We are concerned about the global dynamics of the system and discuss it based on two coefficients: the growth rate of prey λ and that of predator <i>μ</i>. In particular, the results show that, with the degeneracy of prey population's intraspecific crowding effect in the subdomain Ω<sub>0</sub>, the density of prey may tend to infinity in Ω<sub>0</sub>. On the other hand, the unboundedness of prey means that the solutions of the system lose compactness which may bring difficulty to investigate the long-time behavior of the solutions. Finally, some numerical simulations are presented to support and strengthen our theoretical analysis.</p>en
dc.languageenen
dc.publisherBirkhaeuser Scienceen
dc.relation.ispartofZeitschrift fuer Angewandte Mathematik und Physiken
dc.titleLong-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environmenten
dc.typeJournal Articleen
dc.identifier.doi10.1007/s00033-019-1194-zen
dc.subject.keywordsLong-time behavioren
dc.subject.keywordsMathematicsen
dc.subject.keywordsReaction-diffusion prey-predator modelen
dc.subject.keywordsBeddington-DeAngelis functional responseen
dc.subject.keywordsSpatial heterogeneityen
dc.subject.keywordsMathematics, Applieden
local.contributor.firstnameNaen
local.contributor.firstnameWenjieen
local.contributor.firstnameHongyangen
local.contributor.firstnameChaoyongen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailwni2@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeSwitzerlanden
local.identifier.runningnumber159en
local.format.startpage1en
local.format.endpage24en
local.identifier.scopusid85073508456en
local.peerreviewedYesen
local.identifier.volume70en
local.identifier.issue6en
local.contributor.lastnameMinen
local.contributor.lastnameNien
local.contributor.lastnameZhangen
local.contributor.lastnameJinen
dc.identifier.staffune-id:wni2en
local.profile.orcid0000-0002-3147-7296en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/31886en
local.date.onlineversion2019-10-09-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleLong-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environmenten
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorMin, Naen
local.search.authorNi, Wenjieen
local.search.authorZhang, Hongyangen
local.search.authorJin, Chaoyongen
local.uneassociationYesen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000489302000001en
local.year.available2019en
local.year.published2019en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/fea02d5e-fcad-4215-8727-0fe5c3645b92en
local.subject.for2020490410 Partial differential equationsen
local.subject.for2020490102 Biological mathematicsen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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