中北大学学报（自然科学版）2024，Vol.45Issue(1)：74-82,9.DOI:10.3969/j.issn.1673-3193.2024.01.010
受媒体报道影响的SEIAQRS传染病模型分析
Analysis of SEIAQRS Epidemic Model Effected by Media Coverage
摘要
Abstract
A SEIAQRS infectious disease model with media coverage and isolation is established to under-stand the transmission mechanism of COVID-19.The existence and stability of equilibrium point are dis-cussed by using the basic regeneration number Rc.When Rc<1,the disease-free equilibrium is globally asymptotically stable,and when Rc>1,there is a unique locally asymptotically stable endemic disease equilibrium.The effects of model parameters α(isolation rate of symptomatic infected persons),p(recov-ery rate of symptomatic infected persons)and m0(media coverage coefficient)on the basic regeneration number are analyzed.It is obtained that isolating symptomatic infected persons,improving the recovery rate of symptomatic infected persons and increasing the media coverage of regular dissemination of infec-tious disease knowledge can reduce the basic regeneration number Rc.Finally,through numerical simula-tion,media coverage and effective isolation can greatly reduce the number of infected people,and thus effectively control the spread of COVID-19.关键词
媒体报道/传播率/隔离/SEIAQRS传染病模型Key words
media coverage/transmission rate/isolation/SEIAQRS epidemic model分类
数理科学引用本文复制引用
王美艳,薛亚奎..受媒体报道影响的SEIAQRS传染病模型分析[J].中北大学学报（自然科学版）,2024,45(1):74-82,9.基金项目
国家自然科学基金资助项目(11971278) （11971278）
山西省自然科学青年基金资助项目(201801D221040) （201801D221040）
