Mathematical Bioscience Institute, Ohio State University, Columbus, OH 43210, USA.
Bull Math Biol. 2012 Feb;74(2):257-99. doi: 10.1007/s11538-011-9662-4. Epub 2011 May 10.
We study a two species competition model in which the species have the same population dynamics but different dispersal strategies and show how these dispersal strategies evolve. We introduce a general dispersal strategy which can result in the ideal free distributions of both competing species at equilibrium and generalize the result of Averill et al. (2011). We further investigate the convergent stability of this ideal free dispersal strategy by varying random dispersal rates, advection rates, or both of these two parameters simultaneously. For monotone resource functions, our analysis reveals that among two similar dispersal strategies, selection generally prefers the strategy which is closer to the ideal free dispersal strategy. For nonmonotone resource functions, our findings suggest that there may exist some dispersal strategies which are not ideal free, but could be locally evolutionarily stable and/or convergent stable, and allow for the coexistence of more than one species.
我们研究了一个两种群竞争模型，其中物种具有相同的种群动态，但具有不同的扩散策略，并研究了这些扩散策略是如何进化的。我们引入了一种通用的扩散策略，该策略可以使两种竞争物种在平衡时达到理想的自由分布，并推广了 Averill 等人（2011 年）的结果。我们通过改变随机扩散率、平流率或同时改变这两个参数，进一步研究了这种理想自由扩散策略的趋同稳定性。对于单调资源函数，我们的分析表明，在两种相似的扩散策略中，选择通常更倾向于更接近理想自由扩散策略的策略。对于非单调资源函数，我们的发现表明，可能存在一些非理想自由的扩散策略，但它们可能在局部上是进化稳定的和/或趋同稳定的，并允许多种物种共存。
