Advances in Difference Equations
Volume 2011 (2011), Article ID 190475, 11 pages
doi:10.1155/2011/190475
Research Article

Numerical Solutions of a Fractional Predator-Prey System

Yanqin Liu1 and Baogui Xin2,3

1Department of Mathematics, Dezhou University, Dezhou 253023, China
2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 30072, China
3School of Economics and Management, Shandong University of Science and Technology, Qingdao 266510, China

Received 10 December 2010; Accepted 22 February 2011

Academic Editor: Dumitru Baleanu

Copyright © 2011 Yanqin Liu and Baogui Xin. 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

We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system. Numerical solutions are given, and some properties exhibit biologically reasonable dependence on the parameter values. And the fractional derivatives are described in the Caputo sense.