Global Dynamics of a Multi-group SEIR Epidemic Model with Infection Age

作     者：Vijay Pal BAJIYA Jai Prakash TRIPATHI Vipul KAKKAR Jinshan WANG Guiquan SUN Vijay Pal BAJIYA;Jai Prakash TRIPATHI;Vipul KAKKAR;Jinshan WANG;Guiquan SUN

作者机构：Department of MathematicsCentral University of RajasthanBandar Sindri-305817KishangarhAjmerRajasthanIndia Complex Systems Research CenterShanxi UniversityTaiyuan 030006China Department of MathematicsNorth University of ChinaTaiyuan 030051China Complex Systems Research CenterShanxi UniversityTaiyuan 030006China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2021年第42卷第6期

页      面：833-860页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 070104[理学-应用数学] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

基　　金：supported by the National Natural Science Foundation of China(No.12022113) Henry Fok Foundation for Young Teachers,China(No.171002) Outstanding Young Talents Support Plan of Shanxi Province,Science and Engineering Research Board(SERB for short),India(No.ECR/2017/002786) UGC-BSR Research Start-Up-Grant,India(No.F.30-356/2017(BSR)) Senior Research Fellowship from the Council of Scientific and Industrial Research(CSIR for short),India(No.09/1131(0006)/2017-EMR-I)。 

主　　题：Multi-group model Infection age Feedback Graph-theoretic approach Lyapunov function 

摘      要：Consider the heterogeneity(e.g.,heterogeneous social behaviour,heterogeneity due to different geography,contrasting contact patterns and different numbers of sexual partners etc.)of host population,in this paper,the authors propose an infection age multigroup SEIR epidemic model.The model system also incorporates the feedback variables,where the infectivity of infected individuals may depend on the infection age.In the direction of mathematical analysis of model,the basic reproduction number R_0 has been computed.The global stability of disease-free equilibrium and endemic equilibrium have been established in the term of R_(0).More precisely,for R_(0)≤1,the disease-free equilibrium is globally asymptotically stable and for R_(0)1,they establish global stability of endemic equilibrium using some graph theoretic techniques to Lyapunov function method.By considering a numerical example,they investigate the effects of infection age and feedback on the prevalence of the disease.Their result shows that feedback parameters have different and even opposite effects on different groups.However,by choosing an appropriate value of feedback parameters,the disease could be eradicated or maintained at endemic level.Besides,the infection age of infected individuals may also change the behaviour of the disease,global stable to damped oscillations or damped oscillations to global stable.