Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination

摘要

We consider a nonautonomous SEIR endemic model with saturation incidence concerning pulse vaccination. By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. Finally, numerical simulations are given to illustrate themain theoretical results and it shows that pulse vaccination plays a key role in the disease control.