Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 684926, 18 pages
doi:10.1155/2010/684926
Research Article

Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation

Chunyan Ji,1,2 Daqing Jiang,2 Hong Liu,2,3 and Qingshan Yang2

1School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China
2School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, China
3China Economics and Management Academy, CIAS, Central University of Finance and Economics, Beijing 100081, China

Received 30 December 2009; Accepted 15 June 2010

Academic Editor: Ben T. Nohara

Copyright © 2010 Chunyan Ji 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

We discuss a two-species Lotka-Volterra mutualism system with stochastic perturbation. We show that there is a unique nonnegative solution of this system. Furthermore, we investigate that there exists a stationary distribution for this system, and it has ergodic property.