具有阶段结构的时滞周期SEIR传染病模型动力学分析  

Dynamics of a Time-delay Periodic SEIR Infectious Disease Model with Stage-structure

作　　者：纳仁花 梁泽芬 NA Renhua;LIANG Zefen(Department of Basic Courses,Lanzhou Institute of Technology,Lanzhou 730050,China;School of Mechanical and Electrical Engineering,Lanzhou Institute of Technology,Lanzhou 730050,China)

机构地区：[1]兰州工业学院基础学科部,甘肃兰州730050 [2]兰州工业学院机电工程学院,甘肃兰州730050

出　　处：《兰州工业学院学报》2023年第1期95-101,106,共8页Journal of Lanzhou Institute of Technology

基　　金：甘肃省高等学校创新能力提升项目(2020B-244);甘肃省高校科研项目(2020A-145);甘肃省自然科学基金(20JR10RA278)。

摘　　要：研究了一类具有阶段结构的时滞周期传染病模型。首先导出数学模型,然后利用次代算子方法计算基本再生数R_(0),并利用持久性理论和比较原理证明疾病灭绝和一致持久的阈值条件,最后通过数值模拟进一步验证结论,并讨论忽略时滞因素对估计传染病传播的影响。A time-delay periodic infectious disease model with stage structure is studied.Firstly,the mathematical model is derived.Next,the basic regeneration number R_(0) is derived by the second generation operator method.The persistence theory and comparison principle are used to prove the threshold conditions for disease extinction and consistent persistence.Finally,the conclusions are further verified by numerical simulation,and the influence of ignoring time delay factors on the estimation of infectious disease transmission is discussed.

关 键 词：时滞 周期 阶段结构 基本再生数 持久性 

分 类 号：O175[理学—数学]