Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 830537, 13 pages
doi:10.1155/2009/830537
Research Article

Permanence and Global Stability of Positive Periodic Solutions of a Discrete Competitive System

Wenjie Qin, Zhijun Liu, and Yiping Chen

Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, China

Received 12 March 2009; Accepted 18 May 2009

Academic Editor: Antonia Vecchio

Copyright © 2009 Wenjie Qin 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 consider the dynamic behaviors of a discrete competitive system. A good understanding of the permanence, existence, and global stability of positive periodic solutions is gained. Numerical simulations are also presented to substantiate the analytical results.