Advances in Difference Equations
Volume 2008 (2008), Article ID 876936, 7 pages
Research Article

On the Difference Equation xn+1=(αxn+βxn1)exn

Xiaohua Ding1 and Rongyan Zhang2

1Department of Mathematics, Harbin Institute of Technology in Weihai, Weihai, Shandong 264209, China
2Department of Mathematics, Huang He Science and Technology College, Zhengzhou, Henan 264209, China

Received 22 September 2007; Accepted 14 December 2007

Academic Editor: István Gyori

Copyright © 2008 Xiaohua Ding and Rongyan 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.


We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.