Open Access

On the Difference Equation

Advances in Difference Equations20082008:876936

https://doi.org/10.1155/2008/876936

Received: 22 September 2007

Accepted: 14 December 2007

Published: 3 January 2008

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Harbin Institute of Technology in Weihai
(2)
Department of Mathematics, Huang He Science and Technology College

Copyright

© X. Ding and R. Zhang. 2008

This article is published under license to BioMed Central Ltd. 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.