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The limited availability of COVID-19 vaccines has prompted extensive research on optimal vaccination strategies. Previous studies have considered various non-pharmaceutical interventions, vaccine efficacy, and distribution strategies. In…

Populations and Evolution · Quantitative Biology 2025-02-27 Iker Atienza-Diez , Gabriel Rodriguez-Maroto , Saúl Ares , Susanna Manrubia

Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many…

Optimization and Control · Mathematics 2023-12-01 José Luis Sainz-Pardo , José Valero

In this study, we formulate a mathematical model incorporating age specific transmission dynamics of COVID-19 to evaluate the role of vaccination and treatment strategies in reducing the size of COVID-19 burden. Initially, we establish the…

Populations and Evolution · Quantitative Biology 2021-02-22 Bishal Chhetri , D. k. k. Vamsi , S Balasubramanian , Carani B Sanjeevi

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

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

Covid-19 has caused hundred of thousands of deaths and an economic damage amounting to trillions of dollars, creating a desire for the rapid development of vaccine. Once available, vaccine is gradually produced, evoking the question on how…

Populations and Evolution · Quantitative Biology 2020-06-30 Jens Grauer , Hartmut Löwen , Benno Liebchen

In a world being hit by waves of COVID-19, vaccination is a light on the horizon. However, the roll-out of vaccination strategies and their influence on the pandemic are still open problems. In order to compare the effect of various…

Physics and Society · Physics 2021-04-23 N. L. Barreiro , C. I. Ventura , T. Govezensky , M. Núñez , P. G. Bolcatto , R. A. Barrio

Most countries have started vaccinating people against COVID-19. However, due to limited production capacities and logistical challenges it will take months/years until herd immunity is achieved. Therefore, vaccination and social distancing…

Physics and Society · Physics 2021-04-22 Sara Grundel , Stefan Heyder , Thomas Hotz , Tobias K. S. Ritschel , Philipp Sauerteig , Karl Worthmann

In this paper we analyze the impact of vaccinations on spread of the COVID-19 virus for different age groups. More specifically we examine the deployment of vaccines in the Nordic countries in a comparative analysis where we analyze factors…

Populations and Evolution · Quantitative Biology 2021-09-24 Anna Sigridur Islind , María Óskarsdóttir , Corentin Cot , Giacomo Cacciapaglia , Francesco Sannino

We analyze an optimal control version of a simple SIR epidemiology model that includes a partially specified vaccination policy and takes into account fatigue from protracted application of social distancing measures. The model assumes…

Populations and Evolution · Quantitative Biology 2021-08-17 Evangelos F. Magirou

The outbreak of a novel coronavirus causing severe acute respiratory syndrome in December 2019 has escalated into a worldwide pandemic. In this work, we propose a compartmental model to describe the dynamics of transmission of infection and…

Optimization and Control · Mathematics 2022-10-25 Eleni Zavrakli , Andrew Parnell , David Malone , Ken Duffy , Subhrakanti Dey

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

We develop a model of infection spread that takes into account the existence of a vulnerable group as well as the variability of the social relations of individuals. We develop a compartmentalized power-law model, with power-law connections…

Physics and Society · Physics 2020-10-13 Simone Santini

The outbreak of COVID-19 led to a record-breaking race to develop a vaccine. However, the limited vaccine capacity creates another massive challenge: how to distribute vaccines to mitigate the near-end impact of the pandemic? In the United…

Populations and Evolution · Quantitative Biology 2021-07-20 Dimitris Bertsimas , Vassilis Digalakis , Alexander Jacquillat , Michael Lingzhi Li , Alessandro Previero

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

Given limited supply of approved vaccines and constrained medical resources, design of a vaccination strategy to control a pandemic is an economic problem. We use time-series and panel methods with real-world country-level data to estimate…

General Economics · Economics 2022-01-19 Dongwoo Kim , Young Jun Lee

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

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…

Populations and Evolution · Quantitative Biology 2024-04-29 Lucas Machado Moschen , María Soledad Aronna

The optimal allocation of vaccines to population subgroups over time is a challenging health care management problem. In the context of a pandemic, the interaction between vaccination policies adopted by multiple agents and the cooperation…

Optimization and Control · Mathematics 2021-09-22 David Rey , Ahmed W Hammad , Meead Saberi

Early on during a pandemic, vaccine availability is limited, requiring prioritisation of different population groups. Evaluating vaccine allocation is therefore a crucial element of pandemics response. In the present work, we develop a…

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