摘要：An SIR epidemic model with pulse birth and
standard incidence is presented. The dynamics of the epidemic model
is analyzed. The basic reproductive number 𝑅∗ is defined. It is
proved that the infection-free periodic solution is global asymptotically stable if 𝑅∗<1. The infection-free periodic
solution is unstable and the disease is uniform persistent if 𝑅∗>1. Our theoretical results are confirmed by numerical simulations.
