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.