Author(s)

Youquan Luo, Shujing Gao, Shuixian Yan

.

In this paper, an impulsive epidemic model with time delay is proposed, which susceptible population is divided into two groups: high risk susceptibles and non-high risk susceptibles. We introduce two thresholds R1, R2 and demonstrate that the disease will be extinct if R1<1 and persistent if R2 >1 . Our results show that larger pulse vaccination rates or a shorter the period of pulsing will lead to the eradication of the disease. The conclusions are confirmed by numerical simulations.

High Risk Susceptible, Non-High Risk Susceptible, Pulse Vaccination, Extinction

Luo, Y. , Gao, S. and Yan, S. (2011) Pulse Vaccination Strategy in an Epidemic Model with Two Susceptible Subclasses and Time Delay. Applied Mathematics, 2, 57-63. doi: 10.4236/am.2011.21007.