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
收藏
页码：506 / 513
页数：8
相关论文
共 50 条
12345