Impulsive control of uncertain Lotka-Volterra predator-prey system

被引:9
作者
Li, Dong [1 ,2 ]
Wang, Shilong [2 ]
Zhang, Xiaohong [3 ]
Yang, Dan [3 ]
机构
[1] Chongqing Univ, Coll Math & Phys Sci, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Coll Mech Engn, Chongqing 400030, Peoples R China
[3] Chongqing Univ, Coll Software Engn, Chongqing 400030, Peoples R China
基金
中国国家自然科学基金;
关键词
STABILITY; PERTURBATIONS; MODEL;
D O I
10.1016/j.chaos.2008.06.021
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this letter, we investigate the impulsive control of Lotka-Volterra predator-prey system. The uncertainties in the system are considered. The model parameters which character the uncertainties are formulated through matrix analysis. The sufficient conditions of the asymptotic stability are established by employing the method of Lyapunov functions. Finally, the validity of the results is demonstrated by a numerical example. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1572 / 1577
页数:6
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