吉首大学学报（自然科学版）2025，Vol.46Issue(2)：10-22,13.DOI:10.13438/j.cnki.jdzk.2025.02.002
一类受疾病意识和疫苗接种影响的时滞传染病模型
A Delayed Epidemic Model Affected by Disease Awareness and Vaccination
摘要
Abstract
In this paper,a delayed epidemic model affected by disease awareness and vaccination is estab-lished.The basic regeneration number of the model is given,and the stability of the disease-free equilib-rium point and the endemic equilibrium point of the model is analyzed.Then,the discriminant condition that generates Hopf bifurcation is provided,and the effects of disease awareness conversion rate and vac-cination rate on infected population are studied.The results show that when the delay is the branch pa-rameter,the equilibrium point may have periodic solutions through the Hopf bifurcation.关键词
疾病意识/稳定性/时滞/Hopf分支/疫苗接种Key words
disease awareness/stability/time delay/Hopf bifurcation/vaccination分类
数学引用本文复制引用
赵佳璐,谢景力,汪雨琴,李嘉隆..一类受疾病意识和疫苗接种影响的时滞传染病模型[J].吉首大学学报（自然科学版）,2025,46(2):10-22,13.基金项目
湖南省教育厅科学研究重点项目(22A0368) （22A0368）
吉首大学研究生科研创新项目(JDY2024071) （JDY2024071）
