Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control

被引：9
作者：
Wang, Yuangan [1 ]
机构：
[1] Qinzhou Univ, Sch Math & Comp Sci, Qinzhou 535000, Guangxi, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
FUNCTIONAL-RESPONSE; MODEL; SYNCHRONIZATION; DYNAMICS;
D O I：
10.1155/2012/715497
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno (T-S) fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the controlling conditions of the asymptotical stability and exponential stability are established. Furthermore, the numerical simulation for the Lotka-Volterra predator-prey system with impulsive effects verifies the effectiveness of the proposed methods.
引用
收藏
页数：9
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