THE QUALITATIVE-ANALYSIS OF N-SPECIES LOTKA-VOLTERRA PERIODIC COMPETITION SYSTEMS

被引：60

作者：

ZHAO, XQ

机构：

[1] Institute of Applied Mathematics, Beijing, 100080

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1991年 / 15卷 / 11期

关键词：

D O I：

10.1016/0895-7177(91)90100-L

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider an n-species Lotka-Volterra periodic competition system. Using a comparison method and the Brouwer fixed point theorem, we obtain some sufficient conditions for the ultimate boundedness of solutions and the existence and global attractivity of a positive periodic solution. We also point out that these results constitute a generalization of K. Gopalsamy and J. M. Cushing's.

引用

页码：3 / 8

页数：6

共 5 条

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CUSHING, JM .

JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 10 (04) :385-400

[2] EXCHANGE OF EQUILIBRIA IN 2 SPECIES LOTKA-VOLTERRA COMPETITION MODELS [J].

GOPALSAMY, K .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (OCT) :160-170

[3] 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

[4]

Lakshmikantham V., 1969, DIFFERENTIAL INTEGRA, V1

[5]

Lakshmikantham V., 1969, DIFFERENTIAL INTEGRA, VII

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