论文标题
分析具有最佳疫苗接种的年龄结构化SEQIR模型的稳态解决方案
Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination
论文作者
论文摘要
那些怀疑被感染的人的隔离是包含传染性疾病传播的干预措施之一。我们提出了一个年龄结构化的seqir（可敏感的，epused，q quarantine，i感染，recrectery）模型，并通过易感和暴露的个体进行疫苗接种。首先，没有疫苗接种，通过使用特有稳态的出现来得出基本的繁殖数。具有适当的Liapunov功能，检查了无疾病平衡点的稳定性。以最低成本的感染者数量减少的人群接种疫苗被认为是一个优化问题。我们表明，疫苗接种策略集中在三个年龄段。
Quarantine of those individuals who are suspected of being infected is one of the intervention measures to contain the spread of an infectious disease. We propose an age structured SEQIR (S-Susceptible, E-Exposed, Q-Quarantine, I-Infected, R-Recovered) model with vaccination of susceptible and exposed individuals. Firstly without vaccination, basic reproduction number is derived by using the appearance of endemic steady state. With an appropriate Liapunov function, stability of disease free equilibrium point is checked. Vaccinating a population with reduction in number of infected individuals at minimal cost is considered as an optimization problem. We show that the vaccination strategy is concentrated on atmost three age classes.
