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

页码：544 / 555

页数：12

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