具有连续和脉冲接种的SIQVS传染病模型  

A SIQVS epidemic model with continuous and impulsive vaccination

作　　者：朱凌峰[1] 李维德[1] 章培军[2] 

机构地区：[1]兰州大学数学与统计学院,兰州730000 [2]西京学院基础部,西安710000

出　　处：《兰州大学学报（自然科学版）》2011年第4期99-102,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(40930533);国家科技支撑计划项目(2009BAC53B03)

摘　　要：综合考虑隔离、连续和脉冲接种这三种疾病防治措施,建立了一个具有隔离项、连续和脉冲接种率的SIQV传染病模型,并给出了它的无病周期解的存在性、局部和全局渐近稳定的充分条件,还讨论了隔离率、连续接种率和脉冲接种率对疾病防治的影响.A SIQVS model with quarantine,continuous and pulse vaccination was formulated,the existence and global stability of the disease-free periodic solution were studied and the sufficient conditions of stability was obtained.Moreover,the effect of the strategies to control and eliminate infectious diseases was discussed.

关 键 词：脉冲微分方程 隔离 传染病模型 稳定性 基本再生数 

分 类 号：O175.13[理学—数学] Q141[理学—基础数学]