Abstract:

There are the characteristics of randomicity, fuzziness and impulsive phenomenon in the ecological system. Taking a three species selected preypredator system and preypredator with Holling functional response as an example, the TS fuzzy dynamical model and impulsive synchronization of the systems were proposed. The fuzzy impulsive synchronization controllers were designed based on Lyapunov theory. The problems of the impulsive synchronization and the stability were obtained. The scheme makes the species arrive at a new state, in which they can coexist and develop. The effectiveness of this scheme was tested by simulation.

Key words: impulsive control; TS fuzzy model; synchronization; preypredator systems