一类带有饱和与竞争函数项的捕食模型解的稳定性  

Persistence of Solutions of a Predator-Prey Model with Predator Saturation and Competition Function

作　　者：孟义杰[1] 肖氏武[1] 

机构地区：[1]湖北文理学院数学与计算机科学学院,湖北襄阳441053

出　　处：《湖北文理学院学报》2012年第11期8-10,40,共4页Journal of Hubei University of Arts and Science

基　　金：湖北省教育厅科研项目(B20092503)

摘　　要：讨论一类边界条件为Neumann边界、带有饱和与竞争项的捕食模型解的损耗性和持久性,应用抛物方程比较原理和上下解方法获得解的损耗性和持久性的条件,和非负常稳态解的稳定性.In this paper,we consider a predator-prey model with predator saturation and competition functional response under homogeneous Neumann boundary condition.By using parabolic equation comparison principle and the upper-lower solutions method,we study the dissipation and the persistence of the global solution,and obtain the corresponding conditions,and the stability of the nonnegative constant steady states solutions.

关 键 词：NEUMANN边界 捕食模型 抛物方程比较原理 上下解 

分 类 号：O175.21[理学—数学]