Journal of Applied Mathematics
Volume 2013 (2013), Article ID 963046, 13 pages
http://dx.doi.org/10.1155/2013/963046
Research Article

Positive Periodic Solutions in a Discrete Time Three Species Competition System

Changjin Xu1 and Yusen Wu2

1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China
2Department of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China

Received 11 December 2012; Accepted 27 January 2013

Academic Editor: Zhijun Liu

Copyright © 2013 Changjin Xu and Yusen Wu. 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

A periodic discrete time three species competition system is investigated. With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive periodic solutions of the model are obtained.