Hopf Bifurcation in Fractional Red Blood Cells Model via Time-delayed Feedback Control

In this paper, we propose a time-delayed feedback controller in a fractional-order red blood cells model. Based on this model, we stlidy the stability and Hopf bifurcation. The time delay of the model can change the stability and cause the generation of bifurcating periodic solutions in the controlled fractional-order red blood cells model. We choose the time delay as the bifurcation parameter. Through the stability analysis, we can see that the controller parameters can affect the stability of the controlled model and change the bifurcation point. Then, we can adjust the proper control parameters to achieve desirable model indicators. Finally, numerical simulations are given to prove the correct of theoretical results.