一类带有扩散的捕食模型的非常数正解

基金项目:

国家自然科学基金项目(11371164)

国家自然科学基金河南省人才培养联合项目(U1304104)

河南省科技计划项目(132300410250)

详细信息

Non-Constant Positive Solutions of a Predator-Prey Model with Diffusion

摘要: 讨论了一类三种群带有齐次Neumann边界条件的捕食反应扩散系统,其中两个捕食者捕食同一食饵.首先给出了正常数解的稳定性,并利用极大值原理得到了正解的估计.其次,利用度理论讨论了非常数正解的存在性.
- 捕食系统 /
- 扩散 /
- 非常数平衡解
Abstract: A three species predator-prey reaction-diffusion system under homogeneous Neumann conditions was considered, in which it was supposed that two predators consume the common prey. Firstly, the global asymptotic stability of positive constant was given and an estimation of positive steady state was investiagted by the Maximum Principle. Secondly, the existence of non-constant positive steady state was discussed by the degree theory
- predator-prey system /
- diffusion /
- non-constant positive steady state

[1]	史红波．一类带有扩散的三种群捕食系统的定性分析［J］．兰州大学学报: 自然科学版，2010，46( 5) : 89-92．
[2]	叶其孝，李正元．反应扩散方程引论［M］．北京: 科学出版社，1990．