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We consider the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-metapopulation model (including SIS, SIR, SEIR,. . .), when the loss function is given by the effective reproduction number Re, which is defined…

Optimization and Control · Mathematics 2021-10-26 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Fairness in vaccination is not only important from a social justice point of view, but experience has shown that a fair distribution of vaccine proves more effective in public immunization by preventing highly-concentrated infected areas to…

Optimization and Control · Mathematics 2021-11-11 Mohammad Firouz , Linda Li , Daizy Ahmed , Abdulaziz Ahmed

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

Optimization and Control · Mathematics 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

Vaccination is widely recognised as one of the most effective forms of public health interventions. Individuals decisions regarding vaccination creates a complex social dilemma between individual and collective interests, where each…

Dynamical Systems · Mathematics 2024-11-28 Nataliya A. Balabanova , Manh Hong Duong

Purpose: Only few companies were able to produce vaccine again COVID-19. Thus, one producer supplied it to many countries. The distribution was not effective. Some countries overstocked the vaccine while other countries were not able to buy…

Physics and Society · Physics 2024-08-20 Béla Vizvári , Gergely Kovács

Network-based intervention strategies can be effective and cost-efficient approaches to curtailing harmful contagions in myriad settings. As studied, these strategies are often impractical to implement, as they typically assume complete…

Physics and Society · Physics 2020-09-09 Samuel F. Rosenblatt , Jeffrey A. Smith , G. Robin Gauthier , Laurent Hébert-Dufresne

How to strategically allocate the available vaccines is a crucial issue for pandemic control. In this work, we propose a mathematical framework for optimal stabilizing vaccine allocation, where our goal is to send the infections to zero as…

Optimization and Control · Mathematics 2021-09-13 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, in many low and middle-income countries with geographically dispersed and nomadic populations, last-mile vaccine delivery can be extremely…

Applications · Statistics 2021-04-30 Yuwen Yang , Jayant Rajgopal

Developing robust, quantitative methods to optimize resource allocations in response to epidemics has the potential to save lives and minimize health care costs. In this paper, we develop and apply a computationally efficient algorithm that…

Quantitative Methods · Quantitative Biology 2015-06-22 Edwin C. Yuan , David L. Alderson , Sean Stromberg , Jean M. Carlson

In this study, we explore the dynamic interplay between the timing of vaccination campaigns and the trajectory of disease spread in a population. Through comprehensive data analysis and modeling, we have uncovered a counter-intuitive…

Physics and Society · Physics 2024-12-06 Piergiorgio Castioni , Sergio Gòmez , Clara Granell , Alex Arenas

We consider a SIR model with vaccination strategy on a sparse configuration model random graph. We show the convergence of the system when the number of nodes grows and characterize the scaling limits. Then, we prove the existence of…

Probability · Mathematics 2021-02-26 Emanuel Javier Ferreyra , Matthieu Jonckheere , Juan Pablo Pinasco

Real-time vaccination following an outbreak can effectively mitigate the damage caused by an infectious disease. However, in many cases, available resources are insufficient to vaccinate the entire at-risk population, logistics result in…

Populations and Evolution · Quantitative Biology 2016-03-29 Chantal Nguyen , Jean M. Carlson

Balancing social utility and equity in distributing limited vaccines represents a critical policy concern for protecting against the prolonged COVID-19 pandemic. What is the nature of the trade-off between maximizing collective welfare and…

Computers and Society · Computer Science 2021-11-15 Lin Chen , Fengli Xu , Zhenyu Han , Kun Tang , Pan Hui , James Evans , Yong Li

How to allocate vaccines over heterogeneous individuals is one of the important policy decisions in pandemic times. This paper develops a procedure to estimate an individualized vaccine allocation policy under limited supply, exploiting…

Econometrics · Economics 2021-10-25 Toru Kitagawa , Guanyi Wang

During the Covid-19 pandemic a key role is played by vaccination to combat the virus. There are many possible policies for prioritizing vaccines, and different criteria for optimization: minimize death, time to herd immunity, functioning of…

Populations and Evolution · Quantitative Biology 2022-03-18 Qi Luo , Ryan Weightman , Sean T. McQuade , Mateo Diaz , Emmanuel Trélat , William Barbour , Dan Work , Samitha Samaranayake , Benedetto Piccoli

We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

Analysis of PDEs · Mathematics 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

Vaccination campaigns have saved thousands of lives, reaching the farthest places in the world. These campaigns have required substantial investments and accurate coordination between several actors within the vaccine supply chain. Despite…

The aftermath of the Covid-19 pandemic saw more severe outcomes for racial minority groups and economically-deprived communities. Such disparities can be explained by several factors, including unequal access to healthcare, as well as the…

Computers and Society · Computer Science 2024-03-12 Nicola Neophytou , Afaf Taïk , Golnoosh Farnadi

In this paper, we present a decision support framework for optimizing multiple aspects of vaccine distribution across a multitier cold chain network. We propose two multi-period optimization formulations within this framework: first to…

Physics and Society · Physics 2022-01-12 Shanmukhi Sripada , Ayush Jain , Prasanna Ramamoorthy , Varun Ramamohan

Often, vaccination programs are carried out based on self-interest rather than being mandatory. Owing to the perceptions about risks associated with vaccines and the `herd immunity' effect, it may provide suboptimal vaccination coverage for…

Physics and Society · Physics 2012-07-20 Hai-Feng Zhang , Zhi-Xi Wu , Xiao-Ke Xu , Michael Small , Bing-Hong Wang