A qualitative study on general Gause-type predator-prey models with non-monotonic functional response
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ko, Wonlyul | - |
dc.contributor.author | Ryu, Kimun | - |
dc.date.accessioned | 2021-09-08T15:22:44Z | - |
dc.date.available | 2021-09-08T15:22:44Z | - |
dc.date.created | 2021-06-10 | - |
dc.date.issued | 2009-08 | - |
dc.identifier.issn | 1468-1218 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/119632 | - |
dc.description.abstract | In this paper, we study a diffusive predator-prey model with general growth rates and nonmonotonic functional response under homogeneous Neumann boundary condition. A local existence of periodic solutions and the asymptotic behavior of spatially inhomogeneous solutions are investigated. Moreover, we show the existence and non-existence of non-constant positive steady-state solutions. Especially, to show the existence of non-constant positive steady-states, the fixed point index theory is used without estimating the lower bounds of positive solutions. More precisely, calculating the indexes at the trivial, semi-trivial and positive constant solutions, some sufficient conditions for the existence of non-constant positive steady-state solutions are studied. This is in contrast to the works in previous papers. Furthermore, on obtaining these results, we can observe that the monotonicity of a prey isocline at the positive constant solution plays an important role. (c) 2008 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | GLOBAL BIFURCATION | - |
dc.subject | GEOMETRIC CRITERIA | - |
dc.subject | HOPF-BIFURCATION | - |
dc.subject | STEADY-STATES | - |
dc.subject | GROUP DEFENSE | - |
dc.subject | SYSTEM | - |
dc.subject | VOLTERRA | - |
dc.subject | CYCLES | - |
dc.subject | NONEXISTENCE | - |
dc.title | A qualitative study on general Gause-type predator-prey models with non-monotonic functional response | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ko, Wonlyul | - |
dc.identifier.doi | 10.1016/j.nonrwa.2008.05.012 | - |
dc.identifier.scopusid | 2-s2.0-61749095138 | - |
dc.identifier.wosid | 000264911200057 | - |
dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.10, no.4, pp.2558 - 2573 | - |
dc.relation.isPartOf | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | - |
dc.citation.title | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | - |
dc.citation.volume | 10 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 2558 | - |
dc.citation.endPage | 2573 | - |
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 | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | GLOBAL BIFURCATION | - |
dc.subject.keywordPlus | GEOMETRIC CRITERIA | - |
dc.subject.keywordPlus | HOPF-BIFURCATION | - |
dc.subject.keywordPlus | STEADY-STATES | - |
dc.subject.keywordPlus | GROUP DEFENSE | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordPlus | VOLTERRA | - |
dc.subject.keywordPlus | CYCLES | - |
dc.subject.keywordPlus | NONEXISTENCE | - |
dc.subject.keywordAuthor | Non-constant positive solution | - |
dc.subject.keywordAuthor | Locally/globally asymptotically stable | - |
dc.subject.keywordAuthor | Functional response | - |
dc.subject.keywordAuthor | Hopf bifurcation | - |
dc.subject.keywordAuthor | Index theory | - |
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