Advances in Difference Equations
Volume 2011 (2011), Article ID 312465, 18 pages
doi:10.1155/2011/312465
Research Article

Optimal Harvest of a Stochastic Predator-Prey Model

Jingliang Lv1 and Ke Wang1,2

1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, China
2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received 12 January 2011; Accepted 20 February 2011

Academic Editor: Toka Diagana

Copyright © 2011 Jingliang Lv and Ke Wang. 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 firstly show the permanence of hybrid prey-predator system. Then, when both white and color noises are taken into account, we examine the asymptotic properties of stochastic prey-predator model with Markovian switching. Finally, the optimal harvest policy of stochastic prey-predator model perturbed by white noise is considered.