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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 624162, 12 pages
http://dx.doi.org/10.1155/2014/624162
Research Article

Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China

Received 28 September 2013; Accepted 6 January 2014; Published 6 March 2014

Academic Editor: Chun-Lei Tang

Copyright © 2014 Fengying Wei 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 kind of delayed predator-prey system with harvesting is considered in this paper. The influence of harvesting and delay is investigated. Our results show that Hopf bifurcations occur as the delay passes through critical values. By using of normal form theory and center manifold theorem, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are obtained. Finally, numerical simulations are given to support our theoretical predictions.