Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2014, Article ID 793761, 13 pages
http://dx.doi.org/10.1155/2014/793761
Research Article

Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received 22 November 2013; Accepted 30 April 2014; Published 29 May 2014

Academic Editor: Guang Zhang

Copyright © 2014 Hongli Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A class of Holling type II predator-prey systems with mutual interference and impulses is presented. Sufficient conditions for the permanence, extinction, and global attractivity of system are obtained. The existence and uniqueness of positive periodic solution are also established. Numerical simulations are carried out to illustrate the theoretical results. Meanwhile, they indicate that dynamics of species are very sensitive with the period matching between species’ intrinsic disciplinarians and the perturbations from the variable environment. If the periods between individual growth and impulse perturbations match well, then the dynamics of species periodically change. If they mismatch each other, the dynamics differ from period to period until there is chaos.