Periodicity and stability in a single-species model governed by impulsive differential equation

被引：16

作者：

Tan, Ronghua ^{[1
]}

Liu, Zhijun ^{[1
]}

Cheke, Robert A. ^{[2
]}

机构：

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

[2] Univ Greenwich Medway, Nat Resources Inst, Chatham ME4 4TB, Kent, England

来源：

APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 03期

关键词：

Impulsive single-species model; Positive periodic solution; Brouwer's fixed point theorem; Lyapunov function; LOTKA-VOLTERRA MODEL; DYNAMICS; SYSTEM; VACCINATION; PERMANENCE; CHEMOSTAT; PREY;

D O I：

10.1016/j.apm.2011.07.056

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A periodic single-species model with periodic impulsive perturbations was investigated. By using Brouwer's fixed point theorem and the Lyapunov function, sufficient conditions for the existence and global asymptotic stability of positive periodic solutions of the system were derived. Numerical simulations were presented to verify the feasibilities of our main results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1085 / 1094

页数：10

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