The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence
oleh: Juping Zhang, Zhen Jin, Yakui Xue, Youwen Li
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2009-01-01 |
Deskripsi
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.