Stability and Bifurcation Analysis in A Single-Gene Regulatory Model with Delays via Dual State Feedback control

In this paper, we propose a dual state feedback control method to control the stability and bifurcation of the single-gene regulatory model with the time delay. Meanwhile, the total time delay is elected as the bifurcation parameter to research the dynamic behaviors of the controlled system. Under this control mechanism, it has been obtained that Hopf bifurcation point can be effectively postponed or delay by selecting the appropriate control parameters and the stability domain can be extended. Finally, some numerical simulations are given to justify the correctness and validity of the state feedback controller in the bifurcation control.