Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
406439 | Neurocomputing | 2015 | 11 Pages |
Abstract
In this paper, a genetic regulatory network with two time delays is considered. Firstly, the stabilities with one delay and two delays are investigated. It is shown that the stability switches for time delays, and Hopf bifurcation may occur within certain range of the model parameters. Then, combining the normal form method and the center manifold theorem, we derive the explicit formulas which determine the direction of the bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical examples are exploited to support our results.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Tingting Yu, Xian Zhang, Guodong Zhang, Ben Niu,