具有疾病和Holling Ⅱ功能反应的捕食者-食饵扩散模型的分析

Analysis of A Diffusive Predator-prey Model with Disease and Holling Ⅱ Functional Response

该文主要研究一类带有疾病和HollingⅡ功能反应的捕食者一食饵扩散模型的动力学行为.通过特征方程理论和Laypunov函数方法研究了非负平衡点的稳定性.通过不等式技巧和最大值原理对给定的系统建立先验估计.此外,还获得了一些关于非常值正解存在性和不存在性的结果.

This paper is concerned with the dynamical behaviors of a diffusive predator-prey system with disease and Holling II functional response.We discuss the stability of the nonnegative constant steady states by using the characteristic equation technique and Laypunov functional method.Priori estimates for the system is given by inequality technique and Maximum Principle.Furthermore,we derive some results for the non-existence and existence of non-constant positive solution.