摘要
本文考虑了一类带扩散的捕食模型的平衡态问题.首先给出了正解的先验估计,进而,分别借助于能量方法和拓扑度理论得出了因参数的变化而引起的非常数正解的不存在性和存在性结果.
In this paper,the steady-states of a predator-prey system with diffusion are considered. First,the authors give a priori estimates of positive solutions, and then study the non-existence,existence of non：constant positive solutions as some parameters are varied by using the energy methods and the topological degree theory, respectively.
出处
《应用数学》
CSCD
北大核心
2009年第4期902-907,共6页
Mathematica Applicata
基金
Supported by NSFC(10601011)
关键词
捕食模型
先验估计
非常数正平衡解
存在性
拓扑度理论
Predator-prey model
A priori estimates
Non-constant positive solutions
Existence
Topological degree theory
