Stability analysis of predator-prey system with fuzzy impulsive control

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. copyright © 2012 yuangan wang.