Abstract and Applied Analysis
Volume 2010 (2010), Article ID 156725, 18 pages
doi:10.1155/2010/156725
Research Article

Global Stability and Oscillation of a Discrete Annual Plants Model

S. H. Saker1,2

1Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 26 September 2010; Accepted 2 November 2010

Academic Editor: Nicholas Alikakos

Copyright © 2010 S. H. Saker. 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

The objective of this paper is to systematically study the stability and oscillation of the discrete delay annual plants model. In particular, we establish some sufficient conditions for global stability of the unique positive fixed point and establish an explicit sufficient condition for oscillation of the positive solutions about the fixed point. Some illustrative examples and numerical simulations are included to demonstrate the validity and applicability of the results.