A delayed SEIR epidemic model with Holling-Ⅳ incidence rate is studied. Firstly, the basic reproduction number of the model is defined, and then the existence of the model equilibrium is studied. The local stability of the disease-free equilibrium and the condition for the existence of Hopf bifurcation are proved, and the local stability condition and the condition for the existence of Hopf bifurcation are given. The global stability of disease-free equilibrium is obtained by constructing Lyapunov functional and applying Lasalle’s invariance principle. Finally, the r...
