Stability analysis in a nonlinear ecological model

被引：0
|
作者：
Gu, Xiang [1 ]
Xia, Yong-Hui [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2012年 / 39卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Stability; Predator-prey model; Lyapunov function; Fixed point theory;
D O I：
10.1007/s12190-011-0525-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A high dimension predator-prey model is considered in this paper. Some novel criteria are established for the existence and global asymptotic stability of a unique equilibrium of such model. The approaches are based on fixed point theory, matrix spectral theory and Lyapunov functional. The existence and stability conditions given in terms of spectral radius of explicit matrices are better than conditions obtained by using classic norms. Finally, an example and its simulations show the feasibility of our results.
引用
收藏
页码：189 / 200
页数：12
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