具有隔离因素的流行病模型的免疫接种效率分析

摘要

Pulse vaccinations of epidemical models with quarantine have been studied in this paper. In the SIQR epidemical models with pulse vaccinations, the existence of the infection-free periodic solution has been discussed. Also, it has been proven the global asymptotic stabilities of the infection-free periodic solutions. The basic reproduction numbers have been obtained for those models. Finally, efficiency analysis of pulse vaccinations and constant vaccinations has been compared and contrasted.%研究了脉冲接种形式下具有隔离因素的流行病模型,讨论了无病周期解的存在性,证明了该周期解的全局渐进稳定性,并给出了模型的基本再生数.最后对脉冲接种和常数接种的接种效率进行了比较.