ASYMPTOTICAL BEHAVIORS OF A GENERAL DIFFUSIVE CONSUMER-RESOURCE MODEL WITH MATURATION DELAY
DC Field | Value | Language |
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dc.contributor.author | Ko, Wonlyul | - |
dc.contributor.author | Ahn, Inkyung | - |
dc.contributor.author | Liu, Shengqiang | - |
dc.date.accessioned | 2021-09-04T13:56:27Z | - |
dc.date.available | 2021-09-04T13:56:27Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-08 | - |
dc.identifier.issn | 1531-3492 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/92907 | - |
dc.description.abstract | In this paper, we examine the asymptotic behaviors of a diffusive delayed consumer-resource model subject to homogeneous Neumann boundary conditions, where the discrete time delay covers the period from the birth of juvenile consumers to their maturity, and the predation is of a general type of functional response. We construct the threshold dynamics of the persistence and extinction of the consumer. Moreover, we establish the sufficient conditions for the global attractivity of the semitrivial and coexistence equilibria. Finally, we apply our results to the specific consumer-resource models with Beddington-DeAngelis, Crowley-Martin, and ratio-dependent type of functional responses. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject | PREDATOR-PREY MODEL | - |
dc.subject | DEANGELIS FUNCTIONAL-RESPONSE | - |
dc.subject | NONLINEAR PARABOLIC-SYSTEMS | - |
dc.subject | QUALITATIVE-ANALYSIS | - |
dc.subject | TIME DELAYS | - |
dc.subject | BLOWFLIES EQUATION | - |
dc.subject | HOPF BIFURCATIONS | - |
dc.subject | STAGE STRUCTURE | - |
dc.subject | PERSISTENCE | - |
dc.subject | STABILITY | - |
dc.title | ASYMPTOTICAL BEHAVIORS OF A GENERAL DIFFUSIVE CONSUMER-RESOURCE MODEL WITH MATURATION DELAY | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Inkyung | - |
dc.identifier.doi | 10.3934/dcdsb.2015.20.1715 | - |
dc.identifier.scopusid | 2-s2.0-84930396907 | - |
dc.identifier.wosid | 000355570500009 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.20, no.6, pp.1715 - 1733 | - |
dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.citation.volume | 20 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1715 | - |
dc.citation.endPage | 1733 | - |
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 | PREDATOR-PREY MODEL | - |
dc.subject.keywordPlus | DEANGELIS FUNCTIONAL-RESPONSE | - |
dc.subject.keywordPlus | NONLINEAR PARABOLIC-SYSTEMS | - |
dc.subject.keywordPlus | QUALITATIVE-ANALYSIS | - |
dc.subject.keywordPlus | TIME DELAYS | - |
dc.subject.keywordPlus | BLOWFLIES EQUATION | - |
dc.subject.keywordPlus | HOPF BIFURCATIONS | - |
dc.subject.keywordPlus | STAGE STRUCTURE | - |
dc.subject.keywordPlus | PERSISTENCE | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordAuthor | Consumer-resource model | - |
dc.subject.keywordAuthor | maturation delay | - |
dc.subject.keywordAuthor | general functional response | - |
dc.subject.keywordAuthor | permanence | - |
dc.subject.keywordAuthor | global stability | - |
dc.subject.keywordAuthor | Lyapunov function | - |
dc.subject.keywordAuthor | Beddington-DeAngelis/Crowley-Martin/ratio-dependent models | - |
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