%0 Journal Article %A Yingguo Li %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 56, 2011 %T Stability and Bifurcation Analysis of a Discrete Gompertz Model with Time Delay %U https://publications.waset.org/pdf/15238 %V 56 %X In this paper, we consider a discrete Gompertz model with time delay. Firstly, the stability of the equilibrium of the system is investigated by analyzing the characteristic equation. By choosing the time delay as a bifurcation parameter, we prove that Neimark- Sacker bifurcations occur when the delay passes a sequence of critical values. The direction and stability of the Neimark-Sacker are determined by using normal forms and centre manifold theory. Finally, some numerical simulations are given to verify the theoretical analysis. %P 1272 - 1275