Stability analysis of a delay Fractional-order Gene Regulatory Network model with Impulse control

This paper attempts to develop a delay three-variable fractional-order gene regulatory networks(FGRNs) model with an impulse input to control the state of of genes are transformed and translated. The formulas for determining the bifurcation points and the conditions of stability are derived by applying Lyapunov stability judgment method. Moreover, via the study of the dynamics, we design a novel controller that can able to be applied for the FGRNs, and it can make the FGRNs stable. Finally, some examples are shown the correctness of the controller we designed.