Diffusive Epidemiological Predator-Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kwangjoong | - |
dc.contributor.author | Choi, Wonhyung | - |
dc.contributor.author | Ahn, Inkyung | - |
dc.date.accessioned | 2022-03-03T08:40:50Z | - |
dc.date.available | 2022-03-03T08:40:50Z | - |
dc.date.created | 2022-03-02 | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1079-2724 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/137602 | - |
dc.description.abstract | In this paper, when the predator breeds only by the prey, the relationship among the two classes of prey (susceptible and infected prey) and the predator is represented by using an epidemic model with nonlinear incidence and the response function depending on the density of the three individuals under homogeneous Dirichlet boundary conditions describing a hostile environment at its boundary. For this model, the coexistence steady state of three interacting species is mainly investigated, and the global stabilities of the extinction of all species and the survival of only healthy prey are discussed. Additionally, the conditions of the non-coexistence of three species are established. Finally, an ecological interpretation is also presented based on the results. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER/PLENUM PUBLISHERS | - |
dc.subject | QUALITATIVE-ANALYSIS | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | GLOBAL ANALYSIS | - |
dc.subject | STEADY-STATES | - |
dc.subject | DYNAMICS | - |
dc.subject | DISEASE | - |
dc.subject | SYSTEM | - |
dc.subject | INFECTION | - |
dc.subject | BEHAVIOR | - |
dc.title | Diffusive Epidemiological Predator-Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Inkyung | - |
dc.identifier.doi | 10.1007/s10883-020-09512-3 | - |
dc.identifier.scopusid | 2-s2.0-85090823519 | - |
dc.identifier.wosid | 000568662000001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v.28, no.1, pp.43 - 57 | - |
dc.relation.isPartOf | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | - |
dc.citation.title | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | - |
dc.citation.volume | 28 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 43 | - |
dc.citation.endPage | 57 | - |
dc.type.rims | ART | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Automation & Control Systems | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Automation & Control Systems | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | QUALITATIVE-ANALYSIS | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | GLOBAL ANALYSIS | - |
dc.subject.keywordPlus | STEADY-STATES | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | DISEASE | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordPlus | INFECTION | - |
dc.subject.keywordPlus | BEHAVIOR | - |
dc.subject.keywordAuthor | Ratio-dependent functional response | - |
dc.subject.keywordAuthor | Predator-prey model | - |
dc.subject.keywordAuthor | Infection on prey | - |
dc.subject.keywordAuthor | Coexistence states | - |
dc.subject.keywordAuthor | Fixed point index | - |
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