Copyright © 2010 Tuo Li and Xiu-Mei Jia. 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

This paper is concerned with the global behavior of higher-order difference equation of the form yn+1=(ynexp⁡(β(1-2∑i=0kaiyn-i)))/(1-yn+ynexp⁡(β(1-2∑i=0kaiyn-i))), n=0,1,2…, y-k,y-k+1,…,y0∈(0,1). Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable.