Permanence in a periodic delay logistic system subject to constant impulsive stocking

被引：7

作者：

Liu, Zhijun ^{[1
,2
]}

Chen, Yiping ^{[1
]}

He, Zerong ^{[3
]}

Wu, Jianhua ^{[2
]}

机构：

[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

[3] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 08期

基金：

中国博士后科学基金;

关键词：

permanence; logistic system with hereditary effect; constant pulse; delay; COMPETITIVE SYSTEM; PULSE VACCINATION; STABILITY; DYNAMICS; MODEL;

D O I：

10.1002/mma.1227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a periodic impulsive delay single population system with hereditary effect is established. The constant impulse is realized at fixed moments of time. By using the comparison principle of impulsive differential equations and analysis techniques, the permanence of the system is obtained. It shows that the constant impulsive stocking plays an important role. Numerical simulations are presented to substantiate our analytical results. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：985 / 993

页数：9

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