Global Attractor of a Predator-Prey System with Impulsive Effect and Control

Abstract

In this paper, the author discusses the Global attractor of solution for the boundary value problem of the dynamic system with impulsive case. Based on the prey-Predator with impulsive Effect and HollingIII functional response is proposed and analyzed. By using the Floquet theory of impulsive equation and comparison theorem, sufficient conditions for the system to extinct and some permanence arc given. Finally, the numerical simulation was introduced to support these excellent extensions of results. The authors extend dynamic behavior and the critical value to continuum more previous work [3, 7, 8, 9 and 10].