Dynamics Analysis of SEIR Epidemic Model with Fractional Order Time-Delay
In this paper,we investigate the fractional order time-delay SEIR epidemic model with logistic growth and nonlinear incidence.Using the second generation regeneration matrix method,we calculate the basic reproduction number Ro of the model.The result indicates that the disease-free equilibrium point possesses the locally asymptotically stability When R0＜1,the sufficient conditions for the existence of backware bifurcation are proved by the center manifold theorem;and the endemic equilibrium point with time delay τ=0 possesses the local asymptotic stability when R0＞1.Taking the time delay as a bifurcation parameter,The condition of Hopf bifurcation in endemic equilibrium point is proved by using the bifurcation theory,Finally,the correctness of theoretical analysis is verified by numerical simulations.
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