一类带脉冲接种和脉冲剔除的SIR传染病模型的稳定性态

Stability Properties in an SIR Epidemic Model With Pulse Vaccination and Pulse Elimination

文章研究了一类具有脉冲接种和脉冲剔除的SIR传染病模型的动力学性态.应用F loquet定理研究了无病周期解的局部稳定性,通过脉冲微分不等式证明了其全局渐近稳定性.

An SIR epidemic model with pulse vaccination and pulse elimination is considered in this paper. By using the Floquet theory we prove the infection-free periodic solution is local stable,and by impulsive differential inequality we show the infection-free periodic solution is also globally asymptotically stable.