| Volume 6, Number 3, 2016, Pages 684-698 DOI：10.11948/2016045 |
| Stability Analysis of an Enterprise Competitive Model with Time Delay |
| Shumin Li,Xiaofen Tan |
| Keywords:Hopf bifurcation, stability, delay, enterprise competitive model, periodic solutions. |
| Abstract: |
| A three-dimensional enterprise competitive model with time delay is considered. Where the delay is regarded as bifurcation parameters. By analyzing the corresponding characteristic equation of positive equilibrium,the local stability of positive equilibrium is regarded. By using the normal form method and center manifold theorem, we give the formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions. Numerical simulations are shown to illustrate the obtained results. |
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