使用多个目标,针对异质人口的最佳疫苗接种策略:L1-和L2-配方的案例
Fernando Saldaña1, Amira Kebir2, José Ariel Camacho-Gutiérrez3
1Basque Center for Applied Mathematics (BCAM), Bilbao, Spain.
Mathematical biosciences
|November 2, 2023
概括
为高风险群体优先接种疫苗是控制性传播感染 (STIs) 的关键. 不同的数学方法 (L1和L2) 为最佳控制提供了类似的策略,特别是当疫苗接种成本较低时.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 公共卫生 公共卫生
背景情况:
- 客观功能的选择对生物医学和流行病学应用中的最佳控制解决方案产生重大影响.
- 性传播感染 (STIs) 模型通常包含不同的人口群体,例如具有更高性活动的核心群体.
研究的目的:
- 调查客观函数对STI流行病模型最佳控制策略的影响.
- 为了比较针对性疫苗接种计划的L1和L2目标配方,旨在尽量减少疫苗的部署.
主要方法:
- 为一个具有核心群体的性传播疾病流行模型制定一个最佳控制问题.
- 对L1和L2目标函数进行分析,以探索控制动态和最佳性之间的权衡.
- 从不同的配方中获得的最佳疫苗政策的比较.
主要成果:
- 两种L1和L2配方都表明,优先免疫核心组对快速减少流行病至关重要.
- 根据对照重量选择,定量结果可能会有所不同,但在适当加权的情况下,定性结果保持稳健.
- 当疾病负担成本超过控制成本时,L2配方可以作为更现实的L1配方的有效近似.
结论:
- 预防性感染感染的最佳控制需要优先对高风险核心群体进行疫苗接种.
- 在L1和L2目标函数之间的选择是一个权衡,L2在特定经济条件下提供了实际的近似.
- 最佳控制结果的稳定性表明,L2可以成为制定STI控制政策的有用工具.
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