Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects

被引：65
|
作者：
Nie, Linfei [1 ,2 ]
Peng, Jigen [3 ]
Teng, Zhidong [1 ]
Hu, Lin [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China
[3] Xi An Jiao Tong Univ, Res Ctr Appl Math, Inst Informat & Syst Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 02期
关键词：
Impulsive differential equations; State-dependent; Lotka-Volterra predator-prey system; Periodic solution; Lambert W function; PULSE VACCINATION STRATEGY; SYSTEMS; PERMANENCE;
D O I：
10.1016/j.cam.2008.05.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
According to biological and chemical control strategy for pest, we investigate the dynamic behavior of a Lotka-Volterra predator-prey state-dependent impulsive system by releasing natural enemies and spraying pesticide at different thresholds. By using Poincare map and the properties of the Lambert W function, we prove that the sufficient conditions for the existence and stability of semi-trivial solution and positive periodic Solution. Numerical Simulations are carried Out to illustrate the feasibility Of Our main results. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：544 / 555
页数：12
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