Global asymptotic stability of a general stochastic Lotka-Volterra system with delays

被引：18

作者：

Huang, Yong ^{[2
]}

Liu, Qun ^{[1
]}

Liu, Yiliang ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

[2] Baise Univ, Dept Math, Baise 533000, Guangxi Provinc, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 01期

关键词：

Delays; Stochastic perturbations; Global asymptotic stability; EQUATIONS;

D O I：

10.1016/j.aml.2012.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：175 / 178

页数：4

共 9 条

[1]

Gard T. C., 1988, INTRO STOCHASTIC DIF

[2] PERSISTENCE IN STOCHASTIC FOOD WEB MODELS [J].

GARD, TC .

BULLETIN OF MATHEMATICAL BIOLOGY, 1984, 46 (03) :357-370

[3] GLOBAL ASYMPTOTIC STABILITY IN VOLTERRA POPULATION SYSTEMS [J].

GOPALSAMY, K .

JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (02) :157-168

[4]

Kuang Y., 1993, Delay Differential Equations with Applications in Population Dynamics

[5] Global asymptotic stability of a stochastic Lotka-Volterra model with infinite delays [J].

Liu, Meng ;

Wang, Ke .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) :3115-3123

[6] Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response [J].

Liu, Meng ;

Wang, Ke .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (09) :3792-3797

[7] Anti-periodic solutions to nonlinear evolution equations [J].

Liu Zhenhai .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (06) :2026-2033

[8] Stochastic differential delay equations of population dynamics [J].

Mao, XR ;

Yuan, CG ;

Zou, JZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (01) :296-320

[9]

May R.M., 2001, STABILITY COMPLEXITY

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