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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 the severe impact of COVID-19 on several societal levels, it is of crucial importance to model the impact of restriction measures on the pandemic evolution, so that governments are able to take informed decisions. Even though there…

Computers and Society · Computer Science 2022-02-03 Greta Malaspina , Stevo Racković , Filipa Valdeira

During various stages of the COVID-19 pandemic, countries implemented diverse vaccine management approaches, influenced by variations in infrastructure and socio-economic conditions. This article provides a comprehensive overview of…

Optimization and Control · Mathematics 2024-05-27 Shibshankar Dey , Ali Kaan Kurbanzade , Esma S. Gel , Joseph Mihaljevic , Sanjay Mehrotra

COVID-19 pandemic is one of the major disasters that humanity has ever faced. In this paper, we try to model the effect of vaccination in controlling the pandemic, particularly in context to the third wave which is predicted to hit…

Populations and Evolution · Quantitative Biology 2022-07-27 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri

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

The Covid-19 outbreak of 2020 has required many governments to develop and adopt mathematical-statistical models of the pandemic for policy and planning purposes. To this end, this work provides a tutorial on building a compartmental model…

Applications · Statistics 2023-09-13 Elizabeth B Amona , Ryad A Ghanam , Edward L Boone , Indranil Sahoo , Laith J Abu-Raddad

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

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

In this research paper we modify a classical SIR model to better adapt to the dynamics of COVID-19, that is we propose the heterogeneous SQAIRD model where COVID-19 spreads over a population of economic agents, namely: the elderly, adults…

Optimization and Control · Mathematics 2021-05-19 Elena Gubar , Laura Policardo , Edgar J. Sanchez Carrera , Vladislav Taynitskiy

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

With the present highly infectious dominant SARS-CoV-2 strain of B1.1.529 or Omicron spreading around the globe, there is concern that the COVID-19 pandemic will not end soon and that it will be a race against time until a more contagious…

Populations and Evolution · Quantitative Biology 2022-04-26 Chottiwatt Jittprasong

The outbreak of COVID-19 since Dec. 2019 has caused severe life and economic damage worldwide, many countries are trapped by medical resource constraints or absence of targeted therapeutics, and therefore the implement of systemic policies…

Populations and Evolution · Quantitative Biology 2020-07-15 Yubo Huang , Weidong Zhang

In this paper, we propose a two-group SIR epidemic model to simulate the outcome of stay-at-home policy and wearing face masks during the first COVID-19 epidemic wave in the United States. Based on our proposed model, we further use the…

Populations and Evolution · Quantitative Biology 2021-01-11 Jun Liu , Xiang-Sheng Wang

Given multiple new COVID-19 variants are continuously emerging, non-pharmaceutical interventions are still primary control strategies to curb the further spread of coronavirus. However, implementing strict interventions over extended…

Populations and Evolution · Quantitative Biology 2022-03-01 Xiao Zhou , Xiaohu Zhang , Paolo Santi , Carlo Ratti

This paper analyses the optimal control of infectious disease propagation using a classic susceptible-infected-recovered (SIR) model characterised by permanent immunity and the absence of available vaccines. The control is performed over a…

Optimization and Control · Mathematics 2024-06-12 Rocío Balderrama , Mariana Inés Prieto , Constanza Sánchez de la Vega , Federico Vazquez

Now that SARS-CoV-2 (COVID-19) vaccines are developed, it is very important to plan its distribution strategy. In this paper, we formulated a multi-objective linear programming model to optimize vaccine distribution and applied it to the…

Populations and Evolution · Quantitative Biology 2021-01-28 Jose Marie Antonio Minoza , Vena Pearl Bongolan , Joshua Frankie Rayo

We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove…

Optimization and Control · Mathematics 2018-06-13 Joaquim P. Mateus , Paulo Rebelo , Silvério Rosa , César M. Silva , Delfim F. M. Torres

We present a data-driven optimal control approach which integrates the reported partial data with the epidemic dynamics for COVID-19. We use a basic Susceptible-Exposed-Infectious-Recovered (SEIR) model, the model parameters are…

Optimization and Control · Mathematics 2020-12-22 Hailiang Liu , Xuping Tian

The potential waning of the vaccination immunity to COVID-19 could pose threats to public health, as it is tenable that the timing of such waning would synchronize with the near-complete restoration of normalcy. Should also testing be…

Populations and Evolution · Quantitative Biology 2022-01-28 Agnieszka Truszkowska , Lorenzo Zino , Sachit Butail , Emanuele Caroppo , Zhong-Ping Jiang , Alessandro Rizzo , Maurizio Porfiri

The Coronavirus 2019 (Covid-19) pandemic caused by the SARS-CoV-2 virus represents an unprecedented crisis for our planet. It is a bane of the \"uber connected world that we live in that this virus has affected almost all countries and…