THE EFFECT OF DELAYS ON THE PERMANENCE FOR LOTKA-VOLTERRA SYSTEMS

被引：35

作者：

CHEN, LS

LU, ZY

WANG, WD

机构：

[1] Institute of Mathematics, Academia Sinica Beijing

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 04期

基金：

美国国家科学基金会;

关键词：

LOTKA-VOLTERRA SYSTEMS; DISCRETE DELAY; UNBOUNDED SOLUTIONS;

D O I：

10.1016/0893-9659(95)00050-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, two examples are given to show that delays can make two-species Lotka-Volterra cooperative systems possessing an unbounded solution. This result indicates that unlike the two-species prey-predator or competitive systems, delays in cooperative ones are not harmless in the sense of permanence. These examples also give a negative answer to a recent conjecture for general n-species Lotka-Volterra delay systems proposed in [1, p. 310].

引用

页码：71 / 73

页数：3

共 8 条

[1] GLOBAL STABILITY IN 2 SPECIES INTERACTIONS [J].