基于免疫力变化的百日咳疫苗有效性模型分析OA

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.