Evolution of dispersal in advective homogeneous environment: The effect of boundary conditions
Evolution of dispersal in advective homogeneous environment: The effect of boundary conditions
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DOI：
10.1016/j.jde.2015.02.004
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发表时间：
2015-07
影响因子：
2.4
通讯作者：
Y. Lou;P. Zhou
中科院分区：
文献类型：
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作者：
Y. Lou;P. Zhou
我们考虑了一维平流均匀环境中的单种群模型和两种群竞争模型。这些模型中一个有趣的特征与下游端的边界条件有关，在那里物种可能面临个体的净损失，正如衡量损失大小的参数b所调整的那样。我们首先根据临界栖息地大小和临界平流率确定了单个物种在一般b值下持续生存的充要条件。然后，对于竞争模型，我们假设除了它们的随机扩散速率外，两个物种是相同的。当0≤b<；1时，我们得到了完全的理解，我们的结果表明选择了更大的扩散速率，推广了前人的工作[20](b=1)。然而，对于b>；1，动力学可以非常不同，特别是我们说明，当b&>32；2时，可以选择某种中间扩散速率。
We consider a single species model and a two-species competition model in a one-dimensional advective homogeneous environment. One interesting feature in these models concerns the boundary condition at the downstream end, where the species can be exposed to a net loss of individuals, as tuned by a parameter b which measures the magnitude of the loss. We first determine necessary and sufficient conditions for the persistence of a single species for general value of b, in terms of the critical habitat size and the critical advection rate. Then for the competition model, we assume that two species are identical except their random diffusion rates. We obtain complete understanding when 0≤ b< 1, and our result indicates that larger diffusion rate is selected, extending an earlier work [20](b= 1). However, for b> 1 the dynamics can be quite different, and particularly we illustrate that some intermediate diffusion rate may be selected when b> 3 2.