Abstract and Applied Analysis
Volume 2012 (2012), Article ID 628103, 19 pages
http://dx.doi.org/10.1155/2012/628103
Research Article

A Predator-Prey Model with Functional Response and Stage Structure for Prey

Xiao-Ke Sun,1 Hai-Feng Huo,2 and Xiao-Bing Zhang2

1School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741001, China
2Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Received 24 September 2011; Accepted 25 November 2011

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Xiao-Ke Sun 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 predator-prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. Some numerical simulations are also given to illustrate our results.