具有Logistic死亡率的连续和脉冲接种的SIRVS传染病模型  

Infectious Disease Model with Logistic Mortality Rate Continuity and Pulse Vaccination SIRVS

作　　者：姚小娟[1] 吕陇[1] Yao Xiaojuan;Lyu Long(College of Technology and Engineering,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学技术工程学院基础课教学部,甘肃兰州730050

出　　处：《甘肃科学学报》2018年第2期32-36,62,共6页Journal of Gansu Sciences

摘　　要：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。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 system 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.

关 键 词：Logistic死亡率 连续和脉冲接种 全局渐近稳定性 持久性 基本再生数 

分 类 号：O175[理学—数学]