Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Wonhyung | - |
dc.contributor.author | Ahn, Inkyung | - |
dc.date.accessioned | 2021-08-31T22:52:45Z | - |
dc.date.available | 2021-08-31T22:52:45Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-12 | - |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/61471 | - |
dc.description.abstract | In this study, we consider a diffusive predator-prey system with prey-taxis and ratio-dependent functional responses in a spatially heterogeneous environment. Prey-taxis implies that the predator exhibits directed movement in the presence of prey. We claim that when the predator diffuses uniformly without prey-taxis, only the diffusion of the species plays a role in the predator's invasion in a spatially homogeneous environment. However, when the predator disperses through uniform diffusion together with prey-taxis, we observe that both the diffusion of species and prey-taxis affect the invasion of the predator, which is not the case in a spatially homogeneous environment. The results are obtained by investigating the local stability of a semi-trivial solution, using an eigenvalue analysis. (C) 2019 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | DIFFUSION SYSTEM | - |
dc.subject | MODEL | - |
dc.title | Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Inkyung | - |
dc.identifier.doi | 10.1016/j.aml.2019.06.021 | - |
dc.identifier.scopusid | 2-s2.0-85068041538 | - |
dc.identifier.wosid | 000483423900037 | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS LETTERS, v.98, pp.256 - 262 | - |
dc.relation.isPartOf | APPLIED MATHEMATICS LETTERS | - |
dc.citation.title | APPLIED MATHEMATICS LETTERS | - |
dc.citation.volume | 98 | - |
dc.citation.startPage | 256 | - |
dc.citation.endPage | 262 | - |
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.subject.keywordPlus | DIFFUSION SYSTEM | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordAuthor | Prey-taxis | - |
dc.subject.keywordAuthor | Local stability | - |
dc.subject.keywordAuthor | Invasion | - |
dc.subject.keywordAuthor | Spatially heterogeneous environment | - |
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