Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response

被引：41
作者：
Yu, Shengbin [1 ]
机构：
[1] Fuzhou Univ, Sunshine Coll, Fuzhou 350015, Fujian, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
Leslie-Gower; permanence; global asymptotic stability; Lyapunov function; Dulac function; fluctuation lemma; PREDATOR-PREY MODEL; II SCHEMES; BIFURCATION-ANALYSIS; QUALITATIVE-ANALYSIS; SYSTEM; DYNAMICS; INTERFERENCE;
D O I：
10.1186/1687-1847-2014-84
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and Lyapunov direct method, respectively, three sufficient conditions on the global asymptotic stability of a positive equilibrium are obtained.
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页数：14
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