@article{(Open Science Index):https://publications.waset.org/pdf/15238, title = {Stability and Bifurcation Analysis of a Discrete Gompertz Model with Time Delay}, author = {Yingguo Li}, country = {}, institution = {}, abstract = {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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {8}, year = {2011}, pages = {1272 - 1275}, ee = {https://publications.waset.org/pdf/15238}, url = {https://publications.waset.org/vol/56}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 56, 2011}, }