Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 764703, 11 pages
doi:10.1155/2010/764703
Research Article

Asymptotic Behavior of a Periodic Diffusion System

Songsong Li1,2 and Xiaofeng Hui1

1School of Management, Harbin Institute of Technology, Harbin 150001, China
2School of Finance and Economics Management, Harbin University, Harbin 150086, China

Received 26 June 2010; Accepted 25 August 2010

Academic Editor: P. J. Y. Wong

Copyright © 2010 Songsong Li and Xiaofeng Hui. 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 study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of the maximum periodic solution and the asymptotic boundedness of the nonnegative solutions of the initial boundary value problem.