DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hilhorst, Danielle | ko |
dc.contributor.author | Kim, Yong-Jung | ko |
dc.contributor.author | Kwon, Dohyun | ko |
dc.contributor.author | Thanh Nam Nguyen | ko |
dc.date.accessioned | 2018-02-21T05:52:44Z | - |
dc.date.available | 2018-02-21T05:52:44Z | - |
dc.date.created | 2018-02-05 | - |
dc.date.created | 2018-02-05 | - |
dc.date.created | 2018-02-05 | - |
dc.date.created | 2018-02-05 | - |
dc.date.issued | 2018-02 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL BIOLOGY, v.76, no.3, pp.531 - 565 | - |
dc.identifier.issn | 0303-6812 | - |
dc.identifier.uri | http://hdl.handle.net/10203/240139 | - |
dc.description.abstract | The 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.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Dispersal towards food: the singular limit of an Allen-Cahn equation | - |
dc.type | Article | - |
dc.identifier.wosid | 000422904700001 | - |
dc.identifier.scopusid | 2-s2.0-85021145965 | - |
dc.type.rims | ART | - |
dc.citation.volume | 76 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 531 | - |
dc.citation.endingpage | 565 | - |
dc.citation.publicationname | JOURNAL OF MATHEMATICAL BIOLOGY | - |
dc.identifier.doi | 10.1007/s00285-017-1150-5 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.contributor.nonIdAuthor | Hilhorst, Danielle | - |
dc.contributor.nonIdAuthor | Kwon, Dohyun | - |
dc.contributor.nonIdAuthor | Thanh Nam Nguyen | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Fokker-Planck type diffusion | - |
dc.subject.keywordAuthor | Food metric | - |
dc.subject.keywordAuthor | Singular limit | - |
dc.subject.keywordAuthor | Generation and propagation of interface | - |
dc.subject.keywordAuthor | Perturbed motion by mean curvature | - |
dc.subject.keywordPlus | INHOMOGENEOUS REACTION TERM | - |
dc.subject.keywordPlus | REACTION-DIFFUSION EQUATION | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | CHEMOTAXIS | - |
dc.subject.keywordPlus | PROPAGATION | - |
dc.subject.keywordPlus | INTERFACES | - |
dc.subject.keywordPlus | MOTION | - |
dc.subject.keywordPlus | SYSTEM | - |
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