Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay

We derive a discretized SIR epidemic model with pulse vaccination and time delay from the original continuous model. The sufficient conditions for global attractivity of an infection-free periodic solution and permanence of our model are obtained. Improving discretization, our results are corresponding to those in the original continuous model.

► We derive a discretized SIR epidemic model with pulse vaccination and time delay from the original continuous model. ► The sufficient conditions for global attractivity of an infection-free periodic solution and permanence of our model are obtained. ► Improving discretization, our results are corresponding to those in the original continuous model.