Optimal control and cost-effective analysis of an agestructured emerging infectious disease model  

作　　者：Peiqi Jia Junyuan Yang Xuezhi Li 

机构地区：[1]Complex Systems Research Center,Shanxi University,Taiyuan,030006,Shanxi,PR China [2]Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention,Shanxi University,Taiyuan,030006,PR China [3]School of Mathematics and Information Science,Henan Normal University,Xinxiang,453007,Henan,PR China

出　　处：《Infectious Disease Modelling》2022年第1期149-169,共21页传染病建模（英文）

基　　金：supported by the National Natural Science Foundation of China(NNSFC)(Nos.12001339,61573016,and 11771017);the Shanxi Province Science foundation(20210302123454);the Shanxi Province Science Foundation for Youths(No.201901D211413);the Shanxi Scholarship Council of China(No.2015-094).

摘　　要：Emerging infectious diseases are one of the global public health problems which may lead to widespread epidemics and potentially life-threatening infection.Integrated vaccination and physical distancing interventions are two elementary methods for preventing infectious diseases transmission.In this paper,we construct a continuous age-structured model for investigating the transmission dynamics of an emerging infection disease during a short period.We derive the basic regeneration number R 0,the spectral radius of the next generation operator K,which determines the disease outbreak or not.Furthermore,we propose an optimal control problem to take account for the cost-effectiveness of social distancing intervention and vaccination.We rigorously obtain sufficient conditions for a L1 control problem.Numerical simulations show that coupling integrated vaccination and physical distancing intervention could effectively eliminate the infection,and such control strategy is more sensitive for people aged 10e39 and over 60.

关 键 词：Age-structured model Admissible control Ekerland variational principle The basic reproduction number 

分 类 号：R511[医药卫生—内科学]