Dispersal towards food: the singular limit of an Allen-Cahn equation

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dc.contributor.authorHilhorst, Danielleko
dc.contributor.authorKim, Yong-Jungko
dc.contributor.authorKwon, Dohyunko
dc.contributor.authorThanh Nam Nguyenko
dc.date.accessioned2018-02-21T05:52:44Z-
dc.date.available2018-02-21T05:52:44Z-
dc.date.created2018-02-05-
dc.date.created2018-02-05-
dc.date.issued2018-02-
dc.identifier.citationJOURNAL OF MATHEMATICAL BIOLOGY, v.76, no.3, pp.531 - 565-
dc.identifier.issn0303-6812-
dc.identifier.urihttp://hdl.handle.net/10203/240139-
dc.description.abstractThe effect of dispersal under heterogeneous environment is studied in terms of the singular limit of an Allen-Cahn equation. Since biological organisms often slow down their dispersal if food is abundant, a food metric diffusion is taken to include such a phenomenon. The migration effect of the problem is approximated by a mean curvature flow after taking the singular limit which now includes an advection term produced by the spatial heterogeneity of food distribution. It is shown that the interface moves towards a local maximum of the food distribution. In other words, the dispersal taken in the paper is not a trivialization process anymore, but an aggregation one towards food.-
dc.languageEnglish-
dc.publisherSPRINGER HEIDELBERG-
dc.subjectINHOMOGENEOUS REACTION TERM-
dc.subjectREACTION-DIFFUSION EQUATION-
dc.subjectMODEL-
dc.subjectCHEMOTAXIS-
dc.subjectPROPAGATION-
dc.subjectINTERFACES-
dc.subjectMOTION-
dc.subjectSYSTEM-
dc.titleDispersal towards food: the singular limit of an Allen-Cahn equation-
dc.typeArticle-
dc.identifier.wosid000422904700001-
dc.identifier.scopusid2-s2.0-85021145965-
dc.type.rimsART-
dc.citation.volume76-
dc.citation.issue3-
dc.citation.beginningpage531-
dc.citation.endingpage565-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL BIOLOGY-
dc.identifier.doi10.1007/s00285-017-1150-5-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorHilhorst, Danielle-
dc.contributor.nonIdAuthorKwon, Dohyun-
dc.contributor.nonIdAuthorThanh Nam Nguyen-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorFokker-Planck type diffusion-
dc.subject.keywordAuthorFood metric-
dc.subject.keywordAuthorSingular limit-
dc.subject.keywordAuthorGeneration and propagation of interface-
dc.subject.keywordAuthorPerturbed motion by mean curvature-
dc.subject.keywordPlusINHOMOGENEOUS REACTION TERM-
dc.subject.keywordPlusREACTION-DIFFUSION EQUATION-
dc.subject.keywordPlusMODEL-
dc.subject.keywordPlusCHEMOTAXIS-
dc.subject.keywordPlusPROPAGATION-
dc.subject.keywordPlusINTERFACES-
dc.subject.keywordPlusMOTION-
dc.subject.keywordPlusSYSTEM-
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