The dynamics of natural mortality for pest control model with impulsive effect

被引：8

作者：

Wang, Linjun ^{[1
,2
]}

Xie, Youxiang ^{[2
]}

Fu, Jianqin ^{[3
]}

机构：

[1] China Three Gorges Univ, Coll Mech & Mat Engn, Hubei Key Lab Hydroelect Machinery Design & Maint, Yichang 443002, Hubei, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[3] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 06期

基金：

中国国家自然科学基金;

关键词：

EPIDEMIC MODEL;

D O I：

10.1016/j.jfranklin.2013.03.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a mathematical model is proposed with biologically based impulsive control strategy for pest control. Some sufficient conditions for the existence and globally asymptotical stability of the semi-trivial periodic solution are obtained. Also, the conditions ensuring the permanence of system are given. In addition, we show that there exists a global asymptotically stable semi-trivial periodic solution via bifurcation theory. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1443 / 1461

页数：19

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