Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 47156, 10 pages
doi:10.1155/DDNS/2006/47156

Asymptotic behavior of a class of nonlinear difference equations

Stevo Stević

 Mathematical Institute, Serbian Academy of Science and Arts, Knez Mihailova 35/I, Beograd 11000, Serbia
Received 7 April 2006; Accepted 28 May 2006

Abstract

Motivated by some results of L. Berg (2002), in this paper we find the second member in the asymptotic development of some of the positive solutions of a class of difference equations of second and third orders. The main result in this paper partially solves an open problem by S. Stević (2003), and it is applied to some classes of mathematical biology models, for example, generalized Beverton-Holt stock recruitment model, flour beetle population model, mosquito population equations, and discrete delay logistic difference equation.