The permanence and global attractivity in a nonautonomous Lotka-Volterra system

被引：46

作者：

Zhao, JD ^{[1
]}

Jiang, JF

Lazer, AC

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2004年 / 5卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Lotka-Volterra system; permanence; global attractivity; lower average; upper average;

D O I：

10.1016/S1468-1218(03)00038-5

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. By means of Ahmad and Lazer's definitions of lower and upper averages of a function, we give the averaged conditions for the permanence and global attractivity of this system. It is shown that our averaged conditions are generalization of that of Ahmad and Lazer. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：265 / 276

页数：12

共 11 条

[1] Necessary and sufficient average growth in a Lotka-Volterra system [J].

Ahmad, S ;

Lazer, AC .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (02) :191-228

[2] ON THE NONAUTONOMOUS VOLTERRA-LOTKA COMPETITION EQUATIONS [J].

AHMAD, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (01) :199-204

[3] Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system [J].

Ahmad, S ;

Lazer, AC .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) :37-49

[4] STABLE POSITIVE PERIODIC-SOLUTIONS OF TIME-DEPENDENT LOGISTIC EQUATION UNDER POSSIBLE HEREDITARY INFLUENCES [J].

CUSHING, JM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 60 (03) :747-754

[5] GLOBAL ASYMPTOTIC STABILITY IN A PERIODIC LOTKA-VOLTERRA SYSTEM [J].

GOPALSAMY, K .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1985, 27 (JUL) :66-72

[6] GLOBAL ASYMPTOTIC STABILITY IN AN ALMOST-PERIODIC LOTKA-VOLTERRA SYSTEM [J].

GOPALSAMY, K .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 27 :346-360

[7] Nonautonomous Lotka-Volterra systems .1. [J].

Redheffer, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 127 (02) :519-541

[8]

Teng ZD, 2000, NONLINEAR ANAL-THEOR, V42, P1221

[9] A DIFFERENT CONSIDERATION ABOUT THE GLOBALLY ASYMPTOTICALLY STABLE SOLUTION OF THE PERIODIC N-COMPETING SPECIES PROBLEM [J].

TINEO, A ;

ALVAREZ, C .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 159 (01) :44-50

[10] ON THE ASYMPTOTIC-BEHAVIOR OF SOME POPULATION-MODELS [J].

TINEO, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (02) :516-529

← 1 2 →