Evolution of dispersal in closed advective environments
Evolution of dispersal in closed advective environments
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DOI：
10.1080/17513758.2014.969336
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发表时间：
2015-06
影响因子：
2.8
通讯作者：
King-Yeung Lam;Y. Lou;F. Lutscher
中科院分区：
文献类型：
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作者：
King-Yeung Lam;Y. Lou;F. Lutscher
我们研究了一个封闭平流环境下的两物种竞争模型，其中个体暴露在单向流动（平流）中，但没有个体通过边界丢失。两种的生长和平流速率相同，但随机扩散速率不同。半平凡稳态的线性稳定性分析表明，与没有平流的情况相比，在封闭的平流环境中通常选择缓慢扩散。研究了不同类型资源函数的入侵指数，结果表明可能存在一定的中间扩散率。当扩散和平流速率较小且具有可比性时，我们确定了奇异策略和进化稳定策略的存在性和多重性准则。进一步证明了每一个奇异策略都是收敛稳定的。
We study a two-species competition model in a closed advective environment, where individuals are exposed to unidirectional flow (advection) but no individuals are lost through the boundary. The two species have the same growth and advection rates but different random dispersal rates. The linear stability analysis of the semi-trivial steady state suggests that, in contrast to the case without advection, slow dispersal is generally selected against in closed advective environments. We investigate the invasion exponent for various types of resource functions, and our analysis suggests that there might exist some intermediate dispersal rate that will be selected. When the diffusion and advection rates are small and comparable, we determine criteria for the existence and multiplicity of singular strategies and evolutionarily stable strategies. We further show that every singular strategy is convergent stable.