吉首大学学报（自然科学版）2023，Vol.44Issue(5)：6-17,12.DOI:10.13438/j.cnki.jdzk.2023.05.002
受疾病意识影响的时滞传染病模型的动力学分析
Dynamic Analysis of a Delayed Epidemic Model Affected by Disease Awareness
摘要
Abstract
An SEIM delayed epidemic model affected by disease awareness and incubation period is estab-lished,the basic regeneration number of the model is given,and the existence and stability of the disease-free equilibrium point and the endemic equilibrium point of the model are analyzed.The results show that the Hopf bifurcation occurs in the model at the corresponding critical value τ0 generated by the incuba-tion period,and the stable state of the two equilibrium points changes.When τ is fixed,with the increase of media coverage,the stronger the awareness of disease among susceptible people and the smaller the number of infected people,the easier it is to control the disease.关键词
疾病意识/SEIM时滞模型/Hopf分支/稳定性Key words
disease awareness/delayed SEIM epidemic model/Hopf bifurcation/stability分类
数理科学引用本文复制引用
郭红利,谢景力,张美杨..受疾病意识影响的时滞传染病模型的动力学分析[J].吉首大学学报（自然科学版）,2023,44(5):6-17,12.基金项目
湖南省教育厅科学研究重点项目(22A0368) （22A0368）
吉首大学研究生校级科研项目(JDY22005) （JDY22005）
