Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 914270, 13 pages
doi:10.1155/2011/914270
Research Article

Stochastic Delay Lotka-Volterra Model

Lian Baosheng,1 Hu Shigeng,2 and Fen Yang1

1College of Science, Wuhan University of Science and Technology, Wuhan, Hubei 430065, China
2Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Received 15 October 2010; Accepted 20 January 2011

Academic Editor: Alexander I. Domoshnitsky

Copyright © 2011 Lian Baosheng 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

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as pathwise estimation and asymptotic moment estimation. Indeed, their solutions will be stochastically ultimately bounded.