Qualitative analysis on a cubic predator-prey system with diffusion

被引：0
|
作者：
Bie, Qunyi [1 ]
机构：
[1] China Three Gorges Univ, Dept Math, Coll Sci, Yichang City 443002, Hubei Province, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2011年 / 26期
关键词：
cubic predator-prey model; diffusion; steady-state; existence and non-existence; POSITIVE STEADY-STATES; FUNCTIONAL-RESPONSE; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a cubic predator-prey model with diffusion. We first establish the global stability of the trivial and nontrivial constant steady states for the reaction diffusion system, and then prove the existence and non-existence results concerning non-constant positive stationary solutions by using topological argument and the energy method, respectively.
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页码：1 / 15
页数：15
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