The diffusive farmers and hunter-gatherers model with a free boundary in a heterogeneous environment
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Wonhyung | - |
dc.contributor.author | Ahn, Inkyung | - |
dc.contributor.author | Yoon, Changwook | - |
dc.date.accessioned | 2022-02-14T07:41:06Z | - |
dc.date.available | 2022-02-14T07:41:06Z | - |
dc.date.created | 2022-02-09 | - |
dc.date.issued | 2021-11-15 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/135718 | - |
dc.description.abstract | Ecologically, the evolutionary advantage of farmers over hunter-gatherers has led to their worldwide spreading. In this paper, we study a free boundary problem of a farmers and hunter-gatherers model featuring a type of prey-predator dynamics. The nonlinear diffusion of farmers is determined by the density of farmers in a way that higher population density accelerates the migration. We establish a spreading-vanishing dichotomy and provide some sufficient conditions in a heterogeneous environment. Moreover, in a homogeneous environment, we achieve exact asymptotic convergence to the constant equilibrium. Thereby, we verify that a strong sedentary lifestyle of farmers is advantageous for the spreading of farmers. (c) 2021 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | LOGISTIC MODEL | - |
dc.subject | COMPETITION MODEL | - |
dc.subject | EQUATIONS | - |
dc.subject | SUPERIOR | - |
dc.subject | INVASION | - |
dc.subject | INFERIOR | - |
dc.title | The diffusive farmers and hunter-gatherers model with a free boundary in a heterogeneous environment | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Inkyung | - |
dc.identifier.doi | 10.1016/j.jmaa.2021.125317 | - |
dc.identifier.scopusid | 2-s2.0-85106322395 | - |
dc.identifier.wosid | 000677653400008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.503, no.2 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 503 | - |
dc.citation.number | 2 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | COMPETITION MODEL | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | INFERIOR | - |
dc.subject.keywordPlus | INVASION | - |
dc.subject.keywordPlus | LOGISTIC MODEL | - |
dc.subject.keywordPlus | SUPERIOR | - |
dc.subject.keywordAuthor | Farmers and hunter-gatherers | - |
dc.subject.keywordAuthor | Free boundary | - |
dc.subject.keywordAuthor | Spreading speed | - |
dc.subject.keywordAuthor | Spreading-vanishing dichotomy | - |
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