Stability and Bifurcation Analysis of a Discrete Gompertz Model with Time Delay
| Main Author: | Yingguo Li |
|---|---|
| Format: | Article Journal |
| Bahasa: | eng |
| Terbitan: |
, 2011
|
| Subjects: | |
| Online Access: |
https://zenodo.org/record/1084658 |
Daftar Isi:
- 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.