一类具有扩散和时滞的Leslie-Gower反应捕食系统的动力学分析

Dynamical Analysis of a Diffusion Leslie-Gower Predator-prey Model with Time Delay

文章研究了一类具有扩散和时滞的Leslie-Gower功能反应捕食模型.利用上下解方法讨论了该模型非负解的存在唯一性,借助比较原理获得了解的持久性,构造相应的Lyapunov函数证明了正平衡点的全局渐近稳定性,丰富了已有的结果.

In this paper,we investigate a diffusion Leslie-Gowerpredator-prey model with delay.By using the upper and lower solutions method,the existence and uniqueness of its non-negative solutions are discussed,and the persistence of the solutions also are obtained with the comparative principle.Furthermore,the global asymptotic stability of the positiveequi-libriais studied with the direct Lyapunov method,and improves and extends some known results.