Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ryu, Kimun | - |
dc.contributor.author | Ko, Wonlyul | - |
dc.contributor.author | Haque, Mainul | - |
dc.date.accessioned | 2021-12-16T10:00:37Z | - |
dc.date.available | 2021-12-16T10:00:37Z | - |
dc.date.created | 2021-08-30 | - |
dc.date.issued | 2018-11 | - |
dc.identifier.issn | 0924-090X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/131742 | - |
dc.description.abstract | This paper presents a qualitative study of a predator-prey interaction system with the functional response proposed by Cosner et al. (Theor Popul Biol 56:65-75, 1999). The response describes a behavioral mechanism which a group of predators foraging in linear formation searches, contacts and then hunts a school of prey. On account of the response, strong Allee effects are induced in predators. In the system, we determine the existence of all feasible nonnegative equilibria; further, we investigate the stabilities and types of the equilibria. We observe the bistability and paradoxical phenomena induced by the behavior of a parameter. Moreover, we mathematically prove that the saddle-node, Hopf and Bogdanov-Takens types of bifurcations can take place at some positive equilibrium. We also provide numerical simulations to support the obtained results. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.subject | DYNAMICS | - |
dc.subject | MODELS | - |
dc.title | Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ko, Wonlyul | - |
dc.identifier.doi | 10.1007/s11071-018-4446-0 | - |
dc.identifier.scopusid | 2-s2.0-85049580989 | - |
dc.identifier.wosid | 000450770300006 | - |
dc.identifier.bibliographicCitation | NONLINEAR DYNAMICS, v.94, no.3, pp.1639 - 1656 | - |
dc.relation.isPartOf | NONLINEAR DYNAMICS | - |
dc.citation.title | NONLINEAR DYNAMICS | - |
dc.citation.volume | 94 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1639 | - |
dc.citation.endPage | 1656 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalResearchArea | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Engineering, Mechanical | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | MODELS | - |
dc.subject.keywordAuthor | Predator-prey | - |
dc.subject.keywordAuthor | Bistability | - |
dc.subject.keywordAuthor | Allee effect | - |
dc.subject.keywordAuthor | Saddle-node | - |
dc.subject.keywordAuthor | Bogdanov-Takens | - |
dc.subject.keywordAuthor | Hopf bifurcation | - |
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