PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA-VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS

被引：56

作者：

Meng, Xinzhu ^{[1
,2
]}

Chen, Lansun ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2008年 / 1卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Permanence; impulsive effects; Lotka-Volterra system; time delays; globally asymptotical stability;

D O I：

10.1142/S1793524508000151

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we formulate a robust impulsive Lotka-Volterra n-species competitive system with both discrete delays and continuous delays. Our results in this paper indicate that under the appropriate linear bounded impulsive perturbations, the impulsive delay Lotka-Volterra system remains the original permanence and globally asymptotical stability of the nonimpulsive delay Lotka-Volterra system. We show that the conditions for the permanence and globally asymptotical stability of the system depend on time delays, so, we call it "profitless".

引用

页码：179 / 196

页数：18

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