The Open Automation and Control Systems Journal

2014, 6 : 2024-2029
Published online 2014 December 31. DOI: 10.2174/1874444301406012024
Publisher ID: TOAUTOCJ-6-2024

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

Chen Ning , Tian Baodan , Chen Yang and Chen Jiqian
School of Science, Southwest University of Science and Technology, Mianyang, 621010, China.

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].

Keywords:

Biological control, attractive, predator-Prey system, impulsive effect.