具有最优接种的年龄结构SEQIR模型的稳态解分析
Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination
摘要：
隔离怀疑受感染的人士，是控制传染病蔓延的其中一项干预措施。我们提出了一个年龄结构的SEQ IR（S-易感，E-暴露，Q-隔离，I-感染，R-隔离）模型接种疫苗的易感和暴露的个人。首先在不接种疫苗的情况下，利用地方病稳定态的出现导出基本再生数。通过构造适当的李雅普诺夫函数，检验了无病平衡点的稳定性.以最小的费用接种一个减少感染个体数的群体被认为是一个最优化问题。我们发现，疫苗接种策略是集中在至多三个年龄段。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
