Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 742102, 27 pages
http://dx.doi.org/10.1155/2012/742102
Research Article

Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays

Yongzhi Liao1 and Tianwei Zhang2

1School of Mathematics and Computer Science, Panzhihua University Sichuan, Panzhihua 617000, China
2City College, Kunming University of Science and Technology, Kunming 650051, China

Received 26 May 2012; Accepted 4 November 2012

Academic Editor: Zhen Jin

Copyright © 2012 Yongzhi Liao and Tianwei Zhang. 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 discuss a discrete mutualism model with variable delays of the forms , . By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution to the previous system. Our results complement and extend some scientific work in recent years. Finally, some examples and numerical simulations are given to illustrate the effectiveness of our main results.