Advances in Difference Equations (Jan 2008)

On the Difference Equation <inline-formula> <graphic file="1687-1847-2008-876936-i1.gif"/></inline-formula>

  • Zhang Rongyan,
  • Ding Xiaohua

Journal volume & issue
Vol. 2008, no. 1
p. 876936

Abstract

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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.