Stability of Ratio-Dependent Predator-Prey System with Density Dependence

被引：0
|
作者：
Li, Haiyin [1 ]
Takeuchi, Yasuhiro [1 ]
机构：
[1] Henan Univ Finance & Econ, Dept Math & Informat, Zhengzhou 450002, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
density dependent predator; ratio-dependence; permanence; lyapunov function; global stability; QUALITATIVE-ANALYSIS; RESPONSES; MODELS;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The ratio-dependent predator-prey system both prey and predator with density dependence is systematically considered. The explorations involve the permanence, local and global asymptotic stability of the positive equilibrium for the system under appropriate conditions by using stability theory of differential equations and Lyapunov function.
引用
收藏
页码：144 / 147
页数：4
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