Global dynamics of a competition model with non-local dispersal I: The shadow system
Global dynamics of a competition model with non-local dispersal I: The shadow system
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DOI：
10.1016/j.jmaa.2013.10.071
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发表时间：
2014-04
影响因子：
1.3
通讯作者：
Fang Li;Y. Lou;Yang Wang
中科院分区：
文献类型：
--
作者：
Fang Li;Y. Lou;Yang Wang
具有非局部扩散的方程在生物学中有着广泛的应用。在本文中，我们专注于非局部扩散的Logistic模型，为单一和两个竞争的物种。我们证明了单个方程唯一正平衡态的全局收敛性，并得到了与扩散率相关的正平衡态的各种性质。研究了阴影系统中两种群竞争模型的扩散率和种间竞争系数的影响，完全确定了系统的全局动力学。我们的研究结果表明，分散在空间异质环境中的效果可以是很大的不同，在均匀的环境。
Equations with non-local dispersal have been widely used as models in biology. In this paper we focus on logistic models with non-local dispersal, for both single and two competing species. We show the global convergence of the unique positive steady state for the single equation and derive various properties of the positive steady state associated with the dispersal rate. We investigate the effects of dispersal rates and inter-specific competition coefficients in a shadow system for a two-species competition model and completely determine the global dynamics of the system. Our results illustrate that the effect of dispersal in spatially heterogeneous environments can be quite different from that in homogeneous environments.