Movement toward better environments and the evolution of rapid diffusion
Movement toward better environments and the evolution of rapid diffusion
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DOI：
10.1016/j.mbs.2006.09.003
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发表时间：
2006-12-01
影响因子：
4.3
通讯作者：
Lou, Yuan
中科院分区：
文献类型：
--
作者：
Cantrell, Robert Stephen;Cosner, Chris;Lou, Yuan
研究了一个具有不同扩散策略的生态等价竞争者在空间异质环境中的反应-扩散-平流模型。竞争者代表同一物种的不同表型。一个被认为是通过简单的扩散，其他扩散与定向运动向更有利的环境。我们表明，在适当的条件下，对潜在的空间域，竞争对手，走向更有利的环境可能有竞争优势，即使它扩散得更快，比其他竞争对手。这与两个竞争者通过纯扩散扩散的情况形成对比，在这种情况下，扩散较慢的竞争者总是具有优势。我们确定的竞争优势，通过检查的侵入性，即稳定性或不稳定性，稳定状态，只有一个竞争对手存在。数学方法是主特征值的扰动分析。(c)2006年爱思唯尔公司All rights reserved.
We study a reaction-diffusion-advection model for two ecologically equivalent competitors with different dispersal strategies inhabiting a spatially heterogeneous environment. The competitors represent different phenotypes of the same species. One is assumed to disperse by simple diffusion, the other by diffusion together with directed movement toward more favorable environments. We show that under suitable conditions on the underlying spatial domain, the competitor that moves toward more favorable environments may have a competitive advantage even if it diffuses more rapidly than the other competitor. This is in contrast with the case in which both competitors disperse by pure diffusion, where the competitor that diffuses more slowly always has the advantage. We determine competitive advantage by examining the invasibility, i.e. stability or instability, of steady states with only one competitor present. The mathematical approach is a perturbation analysis of principal eigenvalues. (c) 2006 Elsevier Inc. All rights reserved.