Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications

被引：8

作者：

Zhang, Long ^{[1
]}

Teng, Zhidong ^{[1
]}

Jiang, Haijun ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 03期

关键词：

Impulsive population system; Permanence; Competition; Food chain; Liapunov functional; Delays; PREDATOR-PREY MODEL; POSITIVE PERIODIC-SOLUTIONS; UNIFORM PERSISTENCE; GLOBAL ATTRACTIVITY; ASYMPTOTIC STABILITY; COMPETITIVE-SYSTEMS; DYNAMIC-BEHAVIORS; EXISTENCE; DELAY; EXTINCTION;

D O I：

10.1007/s10440-009-9500-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate general impulsive nonautonomous population dynamical systems of functional differential equations. By utilizing the method of multiple Liapunov-like functionals to construct the permanence region, a general criterion on the permanence for the system is established. Furthermore, as applications of this general criterion, a class of impulsive nonautonomous n-species Lotka-Volterra competitive systems with delays and a class of impulsive nonautonomous 3-species Lotka-Volterra food chain systems with delays are discussed. Some new and useful sufficient conditions on the permanence for these systems are established.

引用

页码：1169 / 1197

页数：29

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