典型文献
Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination
文献摘要：
For some infectious diseases such as mumps,HBV,there is evidence showing that vaccinated individuals always lose their immunity at different rates depending on the inoculation time.In this paper,we propose an age-structured epidemic model using a step function to describe the rate at which vaccinated individuals lose immunity and reduce the age-structured epidemic model to the delay differential model.For the age-structured model,we consider the positivity,boundedness,and compactness of the semiflow and study global stability of equilibria by constructing appropriate Lyapunov functionals.Moreover,for the reduced delay differential equation model,we study the existence of the endemic equilibrium and prove the global stability of equilibria.Finally,some numerical simulations are provided to support our theoretical results and a brief discussion is given.
文献关键词：
中图分类号：
作者姓名：
Xiao-mei FENG;Li-li LIU;Feng-qin ZHANG
作者机构：
School of Mathematics and Informational Technology,Yuncheng University,Yuncheng 044000,China;School of Mathematics and Informational Sciences,Shaanxi Normal University,Xi'an 710062,China;Complex Systems Research Center,Shanxi University,Taiyuan 030006,China;Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention,Shanxi University,Taiyuan 030006,China
文献出处：
引用格式：
[1]Xiao-mei FENG;Li-li LIU;Feng-qin ZHANG-.Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination)[J].应用数学学报（英文版）,2022(02):282-303
A类：
semiflow
B类：
Dynamical,Behavior,SEIR,SVS,Epidemic,Models,Nonlinear,Incidence,Vaccination,For,some,infectious,diseases,such,mumps,HBV,there,evidence,showing,that,vaccinated,individuals,always,lose,their,immunity,rates,depending,inoculation,this,paper,we,propose,age,structured,epidemic,model,using,step,describe,which,delay,differential,consider,positivity,boundedness,compactness,study,global,stability,equilibria,by,constructing,appropriate,Lyapunov,functionals,Moreover,reduced,equation,existence,endemic,equilibrium,prove,Finally,numerical,simulations,are,provided,support,our,theoretical,results,brief,discussion,given
AB值：
0.639713
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