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EVOLUTIONARILY STABLE DISPERSAL STRATEGIES IN A TWO-PATCH ADVECTIVE ENVIRONMENT

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EVOLUTIONARILY STABLE DISPERSAL STRATEGIES IN A TWO-PATCH ADVECTIVE ENVIRONMENT
文献类型:期刊
通讯作者:Fang, YH (reprint author), Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China.
期刊名称:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B影响因子和分区
年:2019
卷:24
期:4
页码:1875-1887
ISSN:1531-3492
关键词:Evolution of dispersal; patch model; advective environment; evolutionarily stable strategy
所属部门:数学科学研究院
摘要:Two-patch models are used to mimic the unidirectional movement of organisms in continuous, advective environments. We assume that species can move between two patches, with patch 1 as the upper stream patch and patch 2 as the downstream patch. Species disperse between two patches with the same rate, and species in patch 1 is transported to patch 2 by drift, but not vice versa. We also mimic no-flux boundary conditions at the upstream and zero Dirichlet boundary conditions at the downstream. The ...More
Two-patch models are used to mimic the unidirectional movement of organisms in continuous, advective environments. We assume that species can move between two patches, with patch 1 as the upper stream patch and patch 2 as the downstream patch. Species disperse between two patches with the same rate, and species in patch 1 is transported to patch 2 by drift, but not vice versa. We also mimic no-flux boundary conditions at the upstream and zero Dirichlet boundary conditions at the downstream. The criteria for the persistence of a single species is established. For two competing species model, we show that there is an intermediate dispersal rate which is evolutionarily stable. These results support the conjecture in [6], initially proposed for reaction-diffusion models with continuous advective environments. ...Hide

DOI:10.3934/dcdsb.2018245
百度学术:EVOLUTIONARILY STABLE DISPERSAL STRATEGIES IN A TWO-PATCH ADVECTIVE ENVIRONMENT
语言:外文
基金:Research Foundation of Education Bureau of Shaanxi Province [15JK1433]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11571364]
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