论文标题
竞争扩散系统的全球动态和应用于修改的Leslie-Gower模型
Global dynamics of a competition-diffusion system and application to a modified Leslie-Gower model
论文作者
论文摘要
我们研究了在空间异质环境中经典的Lotka-Volterra竞争扩散系统的特殊情况的全球动态。该模型表明捕食者密度的演变与猎物的密度无关。基于主要光谱理论和经典单物种逻辑模型的动力学，我们获得了该竞争扩散系统的全局动力学。作为一种应用，在某些适当的条件下，我们使用获得的结果来证明稳态的全球稳定性以及在修改的Leslie-Gower模型中，在异质环境中扩散的两种物种的持久性。
We investigate the global dynamics of a special case of the classical Lotka-Volterra competition-diffusion system in spatially heterogeneous environment. This model indicates that the evolution of the density of the predator is independent of the density of the prey. Based on the principal spectral theory and the dynamics of the classical single-species logistic model, we obtain the global dynamics of this competition-diffusion system. As an application, under some suitable conditions we use the obtained results to prove the global stability of steady states and the persistence of the two species in a modified Leslie-Gower model with diffusion in heterogeneous environment.
