感染率为βIS/(1+R)的SIR流行病脉冲接种模型

Impulsive Vaccination of SIR Epidemic Models with Incidence Rates

研究了具有感染率为βIS/(1+R)流行病SIR模型的脉冲接种策略,通过利用频闪映射的方法,得到了无病周期解的确切表达式,并且也给出了此周期解的全局稳定性分析,即如果R<1,疾病得以根除,无病周期解稳定,如果R>1,则疾病持续,无病周期解是不稳定的,疾病流行.

In this paper, considering impulsive vaccination strategies of SIR epidemic models with incidence rates. Using stroboscope map, we obtain the exact periodic infection -free solution and analyses the globally asymptotically stable of the periodic infection - free solution, that is, if R is less than one, the epidemic is eradicated and periodic infection - free solution is globally asymptotically stable,if R is more than one, the epidemic is permanent and the periodic infection- free is unstable.