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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Global asymptotic stability and the ideal free distribution in a starvation driven diffusion

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dc.contributor.authorKim, Yong Jungko
dc.contributor.authorKwon, Ohsangko
dc.contributor.authorLi, Fangko
dc.date.accessioned2014-08-29T02:45:37Z-
dc.date.available2014-08-29T02:45:37Z-
dc.date.created2014-05-20-
dc.date.created2014-05-20-
dc.date.issued2014-05-
dc.identifier.citationJOURNAL OF MATHEMATICAL BIOLOGY, v.68, no.6, pp.1341 - 1370-
dc.identifier.issn0303-6812-
dc.identifier.urihttp://hdl.handle.net/10203/189011-
dc.description.abstractWe study a logistic model with a nonlinear random diffusion in a Fokker-Planck type law, but not in Fick's law. In the model individuals are assumed to increase their motility if they starve. Any directional information to resource is not assumed in this starvation driven diffusion and individuals disperse in a random walk style strategy. However, the non-uniformity in the motility produces an advection toward surplus resource. Several basic properties of the model are obtained including the global asymptotic stability and the acquisition of the ideal free distribution.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectCOMPETITIVE INTERACTION-
dc.subjectSPATIAL SEGREGATION-
dc.subjectPOPULATION-DYNAMICS-
dc.subjectCROSS-DIFFUSION-
dc.subjectLARGE ADVECTION-
dc.subjectDISPERSAL-
dc.subjectEVOLUTION-
dc.subjectMODEL-
dc.subjectENVIRONMENTS-
dc.subjectEQUATIONS-
dc.titleGlobal asymptotic stability and the ideal free distribution in a starvation driven diffusion-
dc.typeArticle-
dc.identifier.wosid000334182200002-
dc.identifier.scopusid2-s2.0-84897990330-
dc.type.rimsART-
dc.citation.volume68-
dc.citation.issue6-
dc.citation.beginningpage1341-
dc.citation.endingpage1370-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL BIOLOGY-
dc.identifier.doi10.1007/s00285-013-0674-6-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKim, Yong Jung-
dc.contributor.nonIdAuthorKwon, Ohsang-
dc.contributor.nonIdAuthorLi, Fang-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorEcological diffusion-
dc.subject.keywordAuthorGlobal asymptotic stability-
dc.subject.keywordAuthorIdeal free distribution-
dc.subject.keywordAuthorStarvation induced motility-
dc.subject.keywordPlusCOMPETITIVE INTERACTION-
dc.subject.keywordPlusSPATIAL SEGREGATION-
dc.subject.keywordPlusPOPULATION-DYNAMICS-
dc.subject.keywordPlusCROSS-DIFFUSION-
dc.subject.keywordPlusLARGE ADVECTION-
dc.subject.keywordPlusDISPERSAL-
dc.subject.keywordPlusEVOLUTION-
dc.subject.keywordPlusMODEL-
dc.subject.keywordPlusENVIRONMENTS-
dc.subject.keywordPlusEQUATIONS-
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