Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/93896
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorCai, Yen_US
dc.creatorCao, Qen_US
dc.creatorWang, ZAen_US
dc.date.accessioned2022-08-03T01:24:07Z-
dc.date.available2022-08-03T01:24:07Z-
dc.identifier.issn0003-6811en_US
dc.identifier.urihttp://hdl.handle.net/10397/93896-
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.rights© 2020 Informa UK Limited, trading as Taylor & Francis Groupen_US
dc.rightsThis is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 14 Feb 2020 (published online), available at: http://www.tandfonline.com/10.1080/00036811.2020.1728259en_US
dc.subjectGlobal stabilityen_US
dc.subjectPattern formationen_US
dc.subjectPredator–prey systemen_US
dc.subjectPrey-taxisen_US
dc.subjectRatio-dependenten_US
dc.titleAsymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxisen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage81en_US
dc.identifier.epage99en_US
dc.identifier.volume101en_US
dc.identifier.issue1en_US
dc.identifier.doi10.1080/00036811.2020.1728259en_US
dcterms.abstractThis paper is concerned with the global dynamics of a ratio-dependent predator–prey system with prey-taxis. We establish the global existence and uniform-in-time boundedness of solutions in any dimensional bounded domain with Neumann boundary conditions, and furthermore prove the global stability of homogeneous steady states under certain conditions. Finally we perform numerical simulations to show that the pattern formation may arise and prey-taxis is a factor driving the evolution of spatial inhomogeneity into homogeneity.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationApplicable analysis, 2022, v. 101, no. 1, p. 81-99en_US
dcterms.isPartOfApplicable analysisen_US
dcterms.issued2022-
dc.identifier.scopus2-s2.0-85079389239-
dc.identifier.eissn1563-504Xen_US
dc.description.validate202208 bcfcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0201-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS23690694-
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