Evolution of Dispersal in Advective Patchy Environments

Evolution of Dispersal in Advective Patchy Environments
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DOI:
10.1007/s00332-023-09899-w
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发表时间:
2022-12
影响因子:
3
通讯作者:
Shanshan Chen;Junping Shi;Zhisheng Shuai;Yixiang Wu
Shanshan Chen;Junping Shi;Zhisheng Shuai;Yixiang Wu
中科院分区:
数学2区
文献类型:
--
作者:
Shanshan Chen;Junping Shi;Zhisheng Shuai;Yixiang Wu

文献摘要

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本文研究了一个斑块平流环境中的两种群竞争模型,其中种群在斑块间既有定向漂移又有无向随机扩散,并且在下游端存在个体损失(例如,由于流入湖泊或海洋)。两个竞争物种被假定为具有相同的增长率,但不同的平流和随机扩散率。我们集中我们的研究的相关特征值问题的性质,其特征的灭绝/持久性动力学的基础补丁人口模型。我们还推导出条件下的平流和随机扩散率的突变种可以或不能入侵的居民种。
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 mutant species can or cannot invade the resident species.