Numerical solutions of a fractional predator-prey system

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. Copyright © 2011 Yanqin Liu and Baogui Xin.