带扩散的基于比率的捕食模型的分析  

Analysis of a Ratio-Dependent Predator-Prey Model with Diffusion

作　　者：刘佳[1] 

机构地区：[1]江苏工业学院信息科学系,江苏常州213164

出　　处：《江苏工业学院学报》2007年第2期54-57,共4页Journal of Jiangsu Polytechnic University

基　　金：江苏省教育厅自然基金项目资助(05KJB110154)

摘　　要：建立了带扩散的基于比率的捕食模型,讨论了模型的一致持久性,应用特征子空间分解与线性化的方法得到了模型正平衡点局部稳定性的充分条件,进一步通过构造适当的Lyapunov泛函的方法得到了正平衡点全局稳定性的充分条件。In this paper, a ratio-dependent predator-prey system with diffusion subject to the homogeneous Neumann boundary condition is studied. Uniform persistence under some appropriate conditions of the system is showed. The sufficient condition of local asymptotic stability of the positive equilibria of the system is obtained by using the characteristic decomposition and linearization method. Moreover, the global asymptotic stability of the positive equilibria is established by constructing a suitable Lyapunov function.

关 键 词：全局稳定 捕食模型 持久性 基于比率 

分 类 号：O175.26[理学—数学]