Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93896
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Cai, Y | en_US |
dc.creator | Cao, Q | en_US |
dc.creator | Wang, ZA | en_US |
dc.date.accessioned | 2022-08-03T01:24:07Z | - |
dc.date.available | 2022-08-03T01:24:07Z | - |
dc.identifier.issn | 0003-6811 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93896 | - |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.rights | © 2020 Informa UK Limited, trading as Taylor & Francis Group | en_US |
dc.rights | This 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/10.1080/00036811.2020.1728259 | en_US |
dc.subject | Global stability | en_US |
dc.subject | Pattern formation | en_US |
dc.subject | Predator–prey system | en_US |
dc.subject | Prey-taxis | en_US |
dc.subject | Ratio-dependent | en_US |
dc.title | Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 81 | en_US |
dc.identifier.epage | 99 | en_US |
dc.identifier.volume | 101 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.doi | 10.1080/00036811.2020.1728259 | en_US |
dcterms.abstract | This 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.accessRights | open access | en_US |
dcterms.bibliographicCitation | Applicable analysis, 2022, v. 101, no. 1, p. 81-99 | en_US |
dcterms.isPartOf | Applicable analysis | en_US |
dcterms.issued | 2022 | - |
dc.identifier.scopus | 2-s2.0-85079389239 | - |
dc.identifier.eissn | 1563-504X | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0201 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 23690694 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Wang_Asymptotic_Dynamics_Spatial.pdf | Pre-Published version | 591.45 kB | Adobe PDF | View/Open |
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