Optimal vaccination strategies on networks and in metropolitan areas  

作　　者：M.Soledad Aronna Lucas Machado Moschen 

机构地区：[1]School of Applied Mathematics,FGV,Praia de Botafogo,190,22250-900,Rio de Janeiro,Brazil [2]Laboratory Jacques-Louis Lions,Sorbonne University

出　　处：《Infectious Disease Modelling》2024年第4期1198-1222,共25页传染病建模（英文）

基　　金：the financial support from the School of Applied Mathematics(FGV EMAp),and Fundacao Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro(FAPERJ)for the funding through process E-26/203.223/2017;the financial support of CNPq(Brazil)through process 310452/2019-8.

摘　　要：This study presents a mathematical model for optimal vaccination strategies in interconnected metropolitan areas,considering commuting patterns.It is a compartmental model with a vaccination rate for each city,acting as a control function.The commuting patterns are incorporated through a weighted adjacency matrix and a parameter that selects day and night periods.The optimal control problem is formulated to minimize a functional cost that balances the number of hospitalizations and vaccines,including restrictions of a weekly availability cap and an application capacity of vaccines per unit of time.The key findings of this work are bounds for the basic reproduction number,particularly in the case of a metropolitan area,and the study of the optimal control problem.Theoretical analysis and numerical simulations provide insights into disease dynamics and the effectiveness of control measures.The research highlights the importance of prioritizing vaccination in the capital to better control the disease spread,as we depicted in our numerical simulations.This model serves as a tool to improve resource allocation in epidemic control across metropolitan regions.

关 键 词：Optimal control EPIDEMIOLOGY Vaccination protocols Commuting patterns Metropolitan areas 2000 MSC 92D30 49-11 

分 类 号：R186[医药卫生—流行病学]