A Pest Control Model with Periodic Coefficients and Impulses

被引：2

作者：

Wang, Sujing ^{[1
]}

Dou, Jiawei ^{[1
]}

Lu, Lala ^{[1
]}

机构：

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

来源：

2011 INTERNATIONAL CONFERENCE ON ENVIRONMENT SCIENCE AND BIOTECHNOLOGY (ICESB 2011) | 2011年 / 8卷

关键词：

Impulsive pest control; predator-prey system; periodic solution; globally asymptotic stability; permanent;

D O I：

10.1016/j.proenv.2011.10.079

中图分类号：

Q81 [生物工程学（生物技术）]; Q93 [微生物学];

学科分类号：

071005 ; 0836 ; 090102 ; 100705 ;

摘要：

In this paper, we consider a pest control model with natural enemy releases. The mathematical problem involves a predator-prey system with periodic coefficients and pulse conditions. First, we show that the system has a unique pest-free periodic solution, which is globally asymptotically stable under certain condition. Furthermore, we prove that the system is permanent if the pest-free periodic solution is unstable. The results generalize some conclusions in [8,9] for the system with constant coefficients. Some computer simulations are made to demonstrate the main results. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of the Asia-Pacific Chemical, Biological & Environmental Engineering Society (APCBEES)

引用

页码：506 / 513

页数：8

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