Advances in Difference Equations
Volume 2008 (2008), Article ID 876936, 7 pages
doi:10.1155/2008/876936
On the Difference Equation xn+1=(αxn+βxn−1)e−xn
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
Abstract
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.