具有Logistic死亡率的连续和脉冲接种的SIRVS传染病模型

摘要

Establish a kind of infectious disease model with Logistic mortality rate continuity and pulse vaccination.SIRVS Analyze the dynamical characteristics of model.Get the infection-free periodic solution of system in the stroboscopic mapping method.Utilize Floquet multiplier theory and comparison principle of impulsive differential equation to prove the global asymptotic stability of periodic solution,get the sys-tem consistent and continual existence conditions,as well as discuss the continuous inoculation rate,pulse vaccination rate and vaccination cycle′s impact on the disease prevention.%建立了一类具有Logistic死亡率的连续和脉冲接种的SIRVS传染病模型.分析了模型的动力学性态.利用频闪映射方法,得到了系统的无病周期解.运用 Floquet 乘子理论和脉冲微分方程比较原理,证明了周期解的全局渐近稳定性,并获得了系统一致持续存在的条件,还讨论了连续接种率、脉冲接种率与免疫接种周期对疾病防治的影响.