Youquan Luo, Shujing Gao, Shuixian Yan
DOI: 10.4236/am.2011.21007   PDF    HTML     4,340 Downloads   9,340 Views   Citations

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 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.

Keywords

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

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Conflicts of Interest

The authors declare no conflicts of interest.

References

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