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Analysis of diffusive two-competing-prey and one-predator systems with Beddington-Deangelis functional response

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dc.contributor.authorKo, Wonlyul-
dc.contributor.authorRyu, Kimun-
dc.date.accessioned2021-09-08T11:49:24Z-
dc.date.available2021-09-08T11:49:24Z-
dc.date.created2021-06-11-
dc.date.issued2009-11-01-
dc.identifier.issn0362-546X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/118945-
dc.description.abstractIn this paper, a diffusive two-competing-prey and one-predator system with Beddington-DeAngelis functional response is considered. The sufficient and necessary conditions for the existence of coexistence states are provided using the fixed point index theory developed. In addition, the stability and uniqueness of coexistence states are investigated. Finally, this paper discusses the sufficient conditions for extinction and permanence of the time-dependent system. (c) 2009 Elsevier Ltd. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD-
dc.subjectBOUNDARY-VALUE-PROBLEMS-
dc.subjectSTEADY-STATE SOLUTIONS-
dc.subjectLOTKA-VOLTERRA MODELS-
dc.subjectPOSITIVE SOLUTIONS-
dc.subjectCOEXISTENCE STATES-
dc.subjectDIFFERENTIAL-EQUATIONS-
dc.subjectCOMPETITION MODEL-
dc.subjectGENERAL-CLASS-
dc.subjectPREY SYSTEM-
dc.subjectEXISTENCE-
dc.titleAnalysis of diffusive two-competing-prey and one-predator systems with Beddington-Deangelis functional response-
dc.typeArticle-
dc.contributor.affiliatedAuthorKo, Wonlyul-
dc.identifier.doi10.1016/j.na.2009.02.119-
dc.identifier.scopusid2-s2.0-67349112759-
dc.identifier.wosid000267621000054-
dc.identifier.bibliographicCitationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.71, no.9, pp.4185 - 4202-
dc.relation.isPartOfNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS-
dc.citation.titleNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS-
dc.citation.volume71-
dc.citation.number9-
dc.citation.startPage4185-
dc.citation.endPage4202-
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.keywordPlusBOUNDARY-VALUE-PROBLEMS-
dc.subject.keywordPlusSTEADY-STATE SOLUTIONS-
dc.subject.keywordPlusLOTKA-VOLTERRA MODELS-
dc.subject.keywordPlusPOSITIVE SOLUTIONS-
dc.subject.keywordPlusCOEXISTENCE STATES-
dc.subject.keywordPlusDIFFERENTIAL-EQUATIONS-
dc.subject.keywordPlusCOMPETITION MODEL-
dc.subject.keywordPlusGENERAL-CLASS-
dc.subject.keywordPlusPREY SYSTEM-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordAuthorCoexistence state-
dc.subject.keywordAuthorPredator-prey-
dc.subject.keywordAuthorCompetition-
dc.subject.keywordAuthorBeddington-DeAngelis-
dc.subject.keywordAuthorPermanence-
dc.subject.keywordAuthorGlobal attractor-
dc.subject.keywordAuthorFixed point index-
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