On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals

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dc.contributor.authorAlfaro, Matthieuko
dc.contributor.authorGiletti, Thomasko
dc.contributor.authorKim, Yong-Jungko
dc.contributor.authorPeltier, Gwenaelko
dc.contributor.authorSeo, Hyowonko
dc.date.accessioned2022-05-06T06:01:03Z-
dc.date.available2022-05-06T06:01:03Z-
dc.date.created2022-05-06-
dc.date.issued2022-04-
dc.identifier.citationJOURNAL OF MATHEMATICAL BIOLOGY, v.84, no.5-
dc.identifier.issn0303-6812-
dc.identifier.urihttp://hdl.handle.net/10203/296371-
dc.description.abstractWe develop general heterogeneous nonlocal diffusion models and investigate their connection to local diffusion models by taking a singular limit of focusing kernels. We reveal the link between the two groups of diffusion equations which include both spatial heterogeneity and anisotropy. In particular, we introduce the notion of deciding factors which single out a nonlocal diffusion model and typically consist of the total jump rate and the average jump length. In this framework, we also discuss the dependence of the profile of the steady state solutions on these deciding factors, thus shedding light on the preferential position of individuals.-
dc.languageEnglish-
dc.publisherSPRINGER HEIDELBERG-
dc.titleOn the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals-
dc.typeArticle-
dc.identifier.wosid000782427700001-
dc.identifier.scopusid2-s2.0-85128260634-
dc.type.rimsART-
dc.citation.volume84-
dc.citation.issue5-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL BIOLOGY-
dc.identifier.doi10.1007/s00285-022-01738-y-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorAlfaro, Matthieu-
dc.contributor.nonIdAuthorGiletti, Thomas-
dc.contributor.nonIdAuthorPeltier, Gwenael-
dc.contributor.nonIdAuthorSeo, Hyowon-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorNonlocal diffusion-
dc.subject.keywordAuthorHeterogeneity-
dc.subject.keywordAuthorFocusing kernels-
dc.subject.keywordAuthorDeciding factors-
dc.subject.keywordAuthorShape of steady states-
dc.subject.keywordPlusASYMPTOTIC-BEHAVIOR-
dc.subject.keywordPlusGENETIC-VARIABILITY-
dc.subject.keywordPlusDISPERSAL-
dc.subject.keywordPlusMAINTENANCE-
dc.subject.keywordPlusEVOLUTION-
dc.subject.keywordPlusDISTRIBUTIONS-
dc.subject.keywordPlusEQUATION-
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