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S. Gao, Z. Teng and D. Xie, “Analysis of a Delayed SIR Epidemic Model with Pulse Vaccination,” Chaos, Solitons & Fractals, Vol. 40, No. 2, 2009, pp. 1004-1011. doi:10.1016/j.chaos.2007.08.056

has been cited by the following article:

• TITLE: Pulse Vaccination Strategy in an Epidemic Model with Two Susceptible Subclasses and Time Delay

  AUTHORS: Youquan Luo, Shujing Gao, Shuixian Yan

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.1, January 30, 2011

  ABSTRACT: 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 R11 . 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.