Article citationsMore>>

W. O. Kermack and A. G. McKendrick, “Contributions to the Mathematical Theory of Epidemics—III: Further Studies of the Problem of Endemicity,” Proceedings of the Royal Society Series A, Vol. 141, No. 843, 1933, pp. 94-122. doi:10.1098/rspa.1933.0106

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.