文献详情
Evolution of dispersal in spatial population models with multiple timescales
文献类型：期刊
通讯作者：Cosner, C (reprint author), Univ Miami, Dept Math, Coral Gables, FL 33146 USA.
期刊名称：JOURNAL OF MATHEMATICAL BIOLOGY影响因子和分区
年：2020
卷：80
期：1-2,SI
页码：3-37
ISSN：0303-6812
关键词：Multiple timescales; Ideal free distribution; Evolutionarily stable strategy; Evolution of dispersal
所属部门：数学科学研究院
摘要：We study the evolutionary stability of dispersal strategies, including but not limited to those that can produce ideal free population distributions (that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium). The environment is assumed to be variable in space but constant in time. We assume that there is a separation of times scales, so that dispersal occurs on a fast timescale, evolution occurs on a slow timescale, and population ...More
We study the evolutionary stability of dispersal strategies, including but not limited to those that can produce ideal free population distributions (that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium). The environment is assumed to be variable in space but constant in time. We assume that there is a separation of times scales, so that dispersal occurs on a fast timescale, evolution occurs on a slow timescale, and population dynamics and interactions occur on an intermediate timescale. Starting with advection-diffusion models for dispersal without population dynamics, we use the large time limits of profiles for population distributions together with the distribution of resources in the environment to calculate growth and interaction coefficients in logistic and Lotka-Volterra ordinary differential equations describing population dynamics. We then use a pairwise invasibility analysis approach motivated by adaptive dynamics to study the evolutionary and/or convergence stability of strategies determined by various assumptions about the advection and diffusion terms in the original advection-diffusion dispersal models. Among other results we find that those strategies which can produce an ideal free distribution are evolutionarily stable. ...Hide

DOI：10.1007/s00285-018-1302-2
百度学术：Evolution of dispersal in spatial population models with multiple timescales
语言：外文
人气指数：1
浏览次数：1
基金：NSFNational Science Foundation (NSF) [DMS-1118623, DMS-1514752, DMS-1411476]; NSFCNational Natural Science Foundation of China [11571364]; NSERCNatural Sciences and Engineering Research Council of Canada
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