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X. B. Zhang, H. F. Huo, X. K. Sun and Q. Fu, “The Differential Susceptibility SIR Epidemic Model with Time Delay and Pulse Vaccination,” Journal of Applied Mathematics and Computing, Vol. 34, No. 1-2, 2009, pp. 287-298.

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.