Copyright © 2009 Juping Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An SIR epidemic model with pulse birth and
standard incidence is presented. The dynamics of the epidemic model
is analyzed. The basic reproductive number is defined. It is
proved that the infection-free periodic solution is global asymptotically stable if . The infection-free periodic
solution is unstable and the disease is uniform persistent if . Our theoretical results are confirmed by numerical simulations.