Global Stability and Oscillation of a Discrete Annual Plants Model. (29th November 2010)

• Record Type: Journal Article
• Authors: Saker, S. H.
• Other Names: Alikakos Nicholas Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2010(2010)
• Publication Date: 2010-11-29
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2010/156725
• Languages: English
• ISSNs: 1085-3375

Abstract

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.