Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control

Abstract EN

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.