Author(s)

Youquan Luo, Shujing Gao, Shuixian Yan

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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

Y. Luo, S. Gao and S. Yan, "Pulse Vaccination Strategy in an Epidemic Model with Two Susceptible Subclasses and Time Delay," Applied Mathematics, Vol. 2 No. 1, 2011, pp. 57-63. doi: 10.4236/am.2011.21007.