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