A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: I, long time behavior and stability of equilibria
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ko, Wonlyul | - |
dc.contributor.author | Ahn, Inkyung | - |
dc.date.accessioned | 2021-09-06T05:29:08Z | - |
dc.date.available | 2021-09-06T05:29:08Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2013-01-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/104234 | - |
dc.description.abstract | We study a ratio-dependent reaction-diffusion system incorporating one prey and two competing predator species under homogeneous Neumann boundary conditions. In this paper, we examine the global attractor and persistence of the system, which characterize the long time behavior of the time-dependent solution, and the stability of all non-negative equilibria of the system. We classify the relations between two competing predators into four categories via domination of one predator over another and weak/strong competition states. These competition states will be the criteria which influence the outcomes of the system. The results include total extinction, competitive exclusion, behavior of a predator driving the extinction of another predator and its prey, behavior of a predator saving its competing predator and prey on the verge of extinction. (C) 2012 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | FOOD-CHAIN MODEL | - |
dc.subject | QUALITATIVE-ANALYSIS | - |
dc.subject | STATIONARY PATTERN | - |
dc.subject | PREDATOR | - |
dc.subject | PERSISTENCE | - |
dc.subject | DYNAMICS | - |
dc.title | A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: I, long time behavior and stability of equilibria | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ko, Wonlyul | - |
dc.contributor.affiliatedAuthor | Ahn, Inkyung | - |
dc.identifier.doi | 10.1016/j.jmaa.2012.07.026 | - |
dc.identifier.scopusid | 2-s2.0-84866304677 | - |
dc.identifier.wosid | 000309381100002 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.397, no.1, pp.9 - 28 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 397 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 9 | - |
dc.citation.endPage | 28 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FOOD-CHAIN MODEL | - |
dc.subject.keywordPlus | QUALITATIVE-ANALYSIS | - |
dc.subject.keywordPlus | STATIONARY PATTERN | - |
dc.subject.keywordPlus | PREDATOR | - |
dc.subject.keywordPlus | PERSISTENCE | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordAuthor | One-prey and two-predator model | - |
dc.subject.keywordAuthor | Ratio-dependent functional response | - |
dc.subject.keywordAuthor | System saver/destroyer | - |
dc.subject.keywordAuthor | Locally/Globally asymptotically stable | - |
dc.subject.keywordAuthor | Weak/Strong competition | - |
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