{"title":"SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT","authors":"Tong Wang, Binxiang Dai","doi":"10.11948/20220543","DOIUrl":null,"url":null,"abstract":"In Zhang, Liu and Zhou [<xref ref-type=\"bibr\" rid=\"b11\">11</xref>], a nonlocal diffusion model with double free boundaries in time periodic environment was introduced and studied. A spreading-vanishing dichotomy is shown to govern the long time dynamical behavior. However, when spreading happens, the spreading speed was left open in [<xref ref-type=\"bibr\" rid=\"b11\">11</xref>]. In this paper, we answer this question. We obtain the spreading speed by solving the associated time periodic semi-wave problems and constructing new upper and lower solutions.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"103 1","pages":"0"},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11948/20220543","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In Zhang, Liu and Zhou [11], a nonlocal diffusion model with double free boundaries in time periodic environment was introduced and studied. A spreading-vanishing dichotomy is shown to govern the long time dynamical behavior. However, when spreading happens, the spreading speed was left open in [11]. In this paper, we answer this question. We obtain the spreading speed by solving the associated time periodic semi-wave problems and constructing new upper and lower solutions.
期刊介绍：
The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
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