具有环境传播和复发的年龄结构传染病模型研究  

Study on age-structured epidemic models of environmental transmission and relapse

作　　者：王慧馨 曹祯 聂麟飞[1] WANG Hui-xin;CAO Zhen;NIE Lin-fei(School of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《东北师大学报（自然科学版）》2024年第2期27-35,共9页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(2021D01E12);新疆维吾尔自治区“天山英才”培养计划项目(2022TSYCCX0015).

摘　　要：基于潜伏者、恢复者和环境中病原体的舱室年龄(即类年龄结构),提出了一类具有环境传播和复发的多组类年龄结构媒介传染病模型,给出了基本再生数R_(0)的准确表达式,并通过构造Lyapunov函数研究模型的全局动力学.结果表明:当R_(0)<1时,无病平衡点是全局渐近稳定的;当R_(0)>1时,地方病平衡点是全局渐近稳定的.Based on the compartment age(i.e.age-class structure)of latent,restorer and viruses in the environment,a multi-age-structured vector-borne infectious disease model with environmental transmission and recurrence is proposed,the exact expression of the basic reproduction number R_(0) is given the global dynamics of the model is studied by constructing Lyapunov function.The results show that when R_(0)<1,the disease-free equilibrium is globally asymptotically stable and when R_(0)>1,the endemic equilibrium is globally asymptotically stable.

关 键 词：媒介传染病 环境传播 年龄结构 基本再生数 稳定性 

分 类 号：O175[理学—数学]