论文标题
在偏斜环境中分散的演变
Evolution of dispersal in advective patchy environments
论文作者
论文摘要
我们研究了一个斑驳的对流环境中的两个物种竞争模型，在该模型中，该物种在斑块之间既受到方向漂移又受到无向随机分散的约束，并且下游端（例如，由于流入湖泊或海洋的流动，个体损失）。假定这两个竞争物种具有相同的增长率，但对流和随机分散率不同。我们将研究重点放在相关特征值问题的特性上，该问题的特征是基础斑块种群模型的灭绝/持续动力学。我们还根据突变物种可以或无法侵入居民物种的对流和随机分散率的条件。
We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end (e.g., due to the flow into a lake or ocean). The two competing species are assumed to have the same growth rates but different advection and random dispersal rates. We focus our studies on the properties of an associated eigenvalue problem which characterizes the extinction/persistence dynamics of the underlying patch population model. We also derive conditions on the advection and random dispersal rates under which a mutating species can or cannot invade the resident species.
