Journal of Applied Mathematics
Volume 2012 (2012), Article ID 715497, 9 pages
Research Article

Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control

School of Mathematics and Computer Science, Qinzhou University, Qinzhou, Guangxi 535000, China

Received 14 December 2011; Revised 22 March 2012; Accepted 11 April 2012

Academic Editor: Xianxia Zhang

Copyright © 2012 Yuangan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.