华中师范大学学报（自然科学版）2026，Vol.60Issue(3)：493-501,9.DOI:10.19603/j.cnki.1000-1190.2026.03.014
基于免疫力变化的百日咳疫苗有效性模型分析
Analysis of pertussis vaccine efficacy model based on immune system changes
摘要
Abstract
Pertussis is a common respiratory infectious disease transmitted through droplets,with the possibility of reinfection.To investigate the impact of vaccine efficacy on disease transmission,we developed a pertussis SiEIVR2R1S2 transmission dynamics model based on the dynamic characteristics of immunity,which categorizes the immune population into highly immune individuals and waning immunity individuals.The epidemic threshold of the disease was analytically derived,and the stability of the system's equilibrium points was examined.Furthermore,a parameter coupling analysis method was employed to elucidate the joint mechanism of vaccine efficacy and immunity waning rate on pertussis transmission dynamics.The findings demonstrate that by optimizing the synergistic relationship between vaccine efficacy and immunity duration,an optimal equilibrium point can be identified,significantly reducing the scale of pertussis outbreaks.Combining non-pharmaceutical interventions with enhanced population immunity levels can form a more effective comprehensive prevention and control strategy.关键词
传染病模型/免疫力变化/疫苗接种/全局稳定性/参数耦合Key words
infectious disease model/immunity dynamics/vaccination/global stability/parameter coupling分类
数理科学引用本文复制引用
谢高燕,薛亚奎..基于免疫力变化的百日咳疫苗有效性模型分析[J].华中师范大学学报（自然科学版）,2026,60(3):493-501,9.基金项目
国家自然科学基金项目(11971278) （11971278）
山西省自然科学基金项目(202203021211086). （202203021211086）
