The permanence and global attractivity of Lotka-Volterra competition system with feedback controls

被引：94

作者：

Chen, FD ^{[1
]}

机构：

[1] Fuzhou Univ, Sch Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

competition; lower average; upper average; permanence; Lyapunov function; globally asymptotic stability; feedback control;

D O I：

10.1016/j.nonrwa.2005.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonautonomous Lotka-Volterra system with feedback controls. Some averaged conditions for the permanence and global attractivity of this system are obtained. Our results generalized those obtained by Zhao et al. (Nonlinear Anal.: Real World Appl. 5 (2004) 265-276). (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：133 / 143

页数：11

共 25 条

[21]

YANG F, 2001, ANN DIFFERENTIAL EQU, V17, P337

[22] Positive periodic solutions of a single species model with feedback regulation and distributed time delay [J].

Yin, FQ ;

Li, YK .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) :475-484

[23] The permanence and global attractivity in a nonautonomous Lotka-Volterra system [J].

Zhao, JD ;

Jiang, JF ;

Lazer, AC .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2004, 5 (02) :265-276

[24] THE QUALITATIVE-ANALYSIS OF N-SPECIES LOTKA-VOLTERRA PERIODIC COMPETITION SYSTEMS [J].

ZHAO, XQ .

MATHEMATICAL AND COMPUTER MODELLING, 1991, 15 (11) :3-8

[25]

翁佩萱, 1996, Acta Mathematicae Applicatae Sinica, V12, P11, DOI 10.1007/BF02009556

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