Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, W. | - |
dc.contributor.author | Ahn, I. | - |
dc.date.accessioned | 2022-03-02T21:41:10Z | - |
dc.date.available | 2022-03-02T21:41:10Z | - |
dc.date.created | 2022-03-02 | - |
dc.date.issued | 2022-06 | - |
dc.identifier.issn | 1468-1218 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/137549 | - |
dc.description.abstract | We consider a predator–prey model with prey-taxis and Holling-type II functional responses in a spatially heterogeneous environment to analyze the effects of prey-taxis and the heterogeneity of an environment on predator invasion. To achieve our goal, we investigate the stability of semi-trivial solution in which the predator is absent. It is known that both the predator diffusion and the death rate contribute to the predator invasion in a heterogeneous habitat when there is no prey-taxis. In this paper, we show that predator invasion is affected by the prey-taxis and diffusions of the prey-taxis model for a certain range of predator death rates in a heterogeneous environment. Furthermore, in cases where predator invasion by predator diffusion does not occur in a particular death rate range of the predator, predator invasion can occur by prey-taxis in a spatially heterogeneous habitat. In addition, we compare this phenomenon to the corresponding predator–prey model with ratio-dependent functional responses. It is observed that none of the predator's diffusion and prey-taxis affect the predator's invasion, and that only the predator's death rate contributes to predator invasion for the model with ratio-dependent functional responses. © 2021 Elsevier Ltd | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Ltd | - |
dc.title | Predator invasion in predator–prey model with prey-taxis in spatially heterogeneous environment | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, I. | - |
dc.identifier.doi | 10.1016/j.nonrwa.2021.103495 | - |
dc.identifier.scopusid | 2-s2.0-85121665609 | - |
dc.identifier.wosid | 000795544200017 | - |
dc.identifier.bibliographicCitation | Nonlinear Analysis: Real World Applications, v.65 | - |
dc.relation.isPartOf | Nonlinear Analysis: Real World Applications | - |
dc.citation.title | Nonlinear Analysis: Real World Applications | - |
dc.citation.volume | 65 | - |
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 | LOTKA-VOLTERRA COMPETITION | - |
dc.subject.keywordPlus | DIFFUSION SYSTEM | - |
dc.subject.keywordPlus | DISPERSAL | - |
dc.subject.keywordPlus | EVOLUTION | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordAuthor | Invasion | - |
dc.subject.keywordAuthor | Local stability | - |
dc.subject.keywordAuthor | Prey-taxis | - |
dc.subject.keywordAuthor | Spatially heterogeneous environment | - |
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