Stability and Hopf Bifurcation Analysis of a Fractional-Order Epidemic Model with Time Delay

الملخص EN

A fractional-order epidemic model with time delay is considered.

Firstly, stability of the disease-free equilibrium point and endemic equilibrium point is studied.

Then, by choosing the time delay as a bifurcation parameter, the existence of Hopf bifurcation is studied.

Finally, numerical simulations are given to illustrate the effectiveness and feasibility of theoretical results.