Global Asymptotic Stability of a Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes

被引：35

作者：

Yu, Shengbin ^{[1
]}

机构：

[1] Fuzhou Univ, Sunshine Coll, Fuzhou 350015, Fujian, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷

关键词：

EXTINCTION; BEHAVIOR; SYSTEM; DELAY;

D O I：

10.1155/2012/208167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the predator-prey model proposed by Aziz-Alaoui and Okiye (Appl. Math. Lett. 16 (2003) 1069-1075) First, the structure of equilibria and their linearized stability is investigated. Then, we provide two sufficient conditions on the global asymptotic stability of a positive equilibrium by employing the Fluctuation Lemma and Lyapunov direct method, respectively. The obtained results not only improve but also supplement existing ones.

引用

页数：8

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