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Related papers: Combining COVID-19 Vaccination with Social Distanc…

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In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

The recent COVID-19 pandemic highlighted the need of non-pharmaceutical interventions in the first stages of a pandemic. Among these, lockdown policies proved unavoidable yet extremely costly from an economic perspective. To better…

Optimization and Control · Mathematics 2021-12-14 Leonardo Cianfanelli , Francesca Parise , Daron Acemoglu , Giacomo Como , Asuman Ozdaglar

Given maximal social distancing duration and intensity, how can one minimize the epidemic final size, or equivalently the total number of individuals infected during the outbreak? A complete answer to this question is provided and…

Optimization and Control · Mathematics 2020-10-01 Pierre-Alexandre Bliman , Michel Duprez

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

In the context of epidemiology, policies for disease control are often devised through a mixture of intuition and brute-force, whereby the set of logically conceivable policies is narrowed down to a small family described by a few…

Populations and Evolution · Quantitative Biology 2021-10-04 Miguel Navascues , Costantino Budroni , Yelena Guryanova

We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering the disease infection rate, but we split the population into…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Chloe Ngo , Christian Parkinson , Weinan Wang

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

Populations and Evolution · Quantitative Biology 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

The current COVID-19 pandemic and subsequent lockdowns have highlighted the close and delicate relationship between a country's public health and economic health. Macroeconomic models that use preexisting epidemic models to calculate the…

Physics and Society · Physics 2020-07-01 Erhan Bayraktar , Asaf Cohen , April Nellis

We consider the control of the COVID-19 pandemic through a standard SIR compartmental model. This control is induced by the aggregation of individuals' decisions to limit their social interactions: when the epidemic is ongoing, an…

Physics and Society · Physics 2020-06-22 Romuald Elie , Emma Hubert , Gabriel Turinici

The global COVID-19 pandemic (SARS-CoV-2 virus) is the defining health crisis of our century. Due to the absence of vaccines and drugs that can help to fight it, the world solution to control the spread has been to consider public social…

Populations and Evolution · Quantitative Biology 2020-05-22 Marcelo Menezes Morato , Saulo Benchimol Bastos , Daniel Oliveira Cajueiro , Julio Elias Normey-Rico

We use mobile device data to construct empirical interpersonal physical contact networks in the city of Portland, Oregon, both before and after social distancing measures were enacted during the COVID-19 pandemic. These networks reveal how…

Physics and Society · Physics 2021-12-17 Gavin S. Hartnett , Edward Parker , Timothy R. Gulden , Raffaele Vardavas , David Kravitz

We consider a susceptible, infected, and recovered infectious disease model which incorporates a vaccination rate. In particular, we study the problem of choosing the vaccination rate in order to reduce the number of infected individuals to…

Analysis of PDEs · Mathematics 2021-08-30 Ryan Hynd , Dennis Ikpe , Terrance Pendleton

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

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control…

Optimization and Control · Mathematics 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

The COVID-19 pandemic constitutes one of the largest threats in recent decades to the health and economic welfare of populations globally. In this paper, we analyze different types of policy measures designed to fight the spread of the…

General Economics · Economics 2020-11-03 Philipp Bach , Victor Chernozhukov , Martin Spindler

This paper presents several simple linear vaccination-based control strategies for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population…

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , S. Alonso-Quesada

A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the…

Populations and Evolution · Quantitative Biology 2020-03-19 Rose Baker

When effective medical treatment and vaccination are not available, non-pharmaceutical interventions such as social distancing, home quarantine and far-reaching shutdown of public life are the only available strategies to prevent the spread…

Populations and Evolution · Quantitative Biology 2020-08-19 Markus Kantner , Thomas Koprucki

The rapid spread of the Coronavirus (COVID-19) confronts policy makers with the problem of measuring the effectiveness of containment strategies, balancing public health considerations with the economic costs of social distancing measures.…

Physics and Society · Physics 2021-04-02 Claudius Gros , Roser Valenti , Lukas Schneider , Kilian Valenti , Daniel Gros

Since the recent introduction of several viable vaccines for SARS-CoV-2, vaccination uptake has become the key factor that will determine our success in containing the COVID-19 pandemic. We argue that game theory and social network models…