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A qualitative study on general Gause-type predator-prey models with constant diffusion rates

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dc.contributor.authorKo, Wonlyul-
dc.contributor.authorRyu, Kimun-
dc.date.accessioned2021-09-09T05:27:17Z-
dc.date.available2021-09-09T05:27:17Z-
dc.date.created2021-06-10-
dc.date.issued2008-08-01-
dc.identifier.issn0022-247X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/122882-
dc.description.abstractIn this paper, we study the qualitative behavior of non-constant positive solutions on a general Gause-type predator-prey model with constant diffusion rates under homogeneous Neumann boundary condition. We show the existence and non-existence of non-constant positive steady-state solutions by the effects of the induced diffusion rates. In addition, we investigate the asymptotic behavior of spatially inhomogeneous solutions, local existence of periodic solutions, and diffusion-driven instability in some eigenmode. (C) 2008 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectFUNCTIONAL-RESPONSE-
dc.subjectPOSITIVE SOLUTIONS-
dc.subjectGLOBAL BIFURCATION-
dc.subjectHOPF-BIFURCATION-
dc.subjectSTABILITY-
dc.subjectMULTIPLICITY-
dc.subjectENRICHMENT-
dc.subjectUNIQUENESS-
dc.subjectCYCLES-
dc.subjectSYSTEM-
dc.titleA qualitative study on general Gause-type predator-prey models with constant diffusion rates-
dc.typeArticle-
dc.contributor.affiliatedAuthorKo, Wonlyul-
dc.identifier.doi10.1016/j.jmaa.2008.03.006-
dc.identifier.scopusid2-s2.0-42649116084-
dc.identifier.wosid000256278500015-
dc.identifier.bibliographicCitationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.344, no.1, pp.217 - 230-
dc.relation.isPartOfJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.titleJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.volume344-
dc.citation.number1-
dc.citation.startPage217-
dc.citation.endPage230-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusFUNCTIONAL-RESPONSE-
dc.subject.keywordPlusPOSITIVE SOLUTIONS-
dc.subject.keywordPlusGLOBAL BIFURCATION-
dc.subject.keywordPlusHOPF-BIFURCATION-
dc.subject.keywordPlusSTABILITY-
dc.subject.keywordPlusMULTIPLICITY-
dc.subject.keywordPlusENRICHMENT-
dc.subject.keywordPlusUNIQUENESS-
dc.subject.keywordPlusCYCLES-
dc.subject.keywordPlusSYSTEM-
dc.subject.keywordAuthornon-constant positive solution-
dc.subject.keywordAuthorlocally/globally asymptotically stable-
dc.subject.keywordAuthorfunctional response-
dc.subject.keywordAuthorHopf bifurcation-
dc.subject.keywordAuthorpersistence-
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