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The risk for severe illness and mortality from COVID-19 significantly increases with age. As a result, age-stratified modeling for COVID-19 dynamics is the key to study how to reduce hospitalizations and mortality from COVID-19. By taking…

Populations and Evolution · Quantitative Biology 2021-05-12 Xianhao Chen , Guangyu Zhu , Lan Zhang , Yuguang Fang , Linke Guo , Xinguang Chen

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

In this paper, we study the optimal control for an SEIR model adapted to the vaccination strategy of susceptible individuals. There are factors associated with a vaccination campaign that make this strategy not only a public health issue…

Optimization and Control · Mathematics 2024-11-08 Nelson L. Santos Junior , João A. M. Gondim

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…

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

The severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), which causes the coronavirus disease 2019 (COVID-19), has led to the deepest global health and economic crisis of the current century. This dramatic situation has forced the…

Applications · Statistics 2021-10-22 Álvaro Briz-Redón , Ángel Serrano-Aroca

With the invention of the COVID-19 vaccine, shipping and distributing are crucial in controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial domain, which controls the propagation of pandemic by the…

Optimization and Control · Mathematics 2022-07-12 Wonjun Lee , Siting Liu , Wuchen Li , Stanley Osher

The Severe Acute Respiratory Syndrome Corona Virus 2 (SARS-CoV-2), or Covid-19, burst into a pandemic in the beginning of 2020. An unprecedented worldwide effort involving academic institutions, regulatory agencies and industry is facing…

Dynamical Systems · Mathematics 2021-04-16 Cristiane M. Batistela , Diego P. F. Correa , Átila M Bueno , José R. C. Piqueira

The Covid-19 pandemic revealed the difficulties of vaccinating a population under the circumstances marked by urgency and limited availability of doses while balancing benefits associated with distinct guidelines satisfying specific ethical…

Quantitative Methods · Quantitative Biology 2023-06-08 Pedro Ribeiro de Almeida , Vitor Hirata Sanches , Carla Goldman

Since the end of 2019, COVID-19 has significantly affected the lives of people around the world. Towards the end of 2020, several COVID-19 vaccine candidates with relatively high efficacy have been reported in the final phase of clinical…

Physics and Society · Physics 2021-01-20 W. K. Wong , Filbert H. Juwono , Tock H. Chua

As of December 2020, the COVID-19 pandemic has infected over 75 million people, making it the deadliest pandemic in modern history. This study develops a novel compartmental epidemiological model specific to the SARS-CoV-2 virus and…

Populations and Evolution · Quantitative Biology 2021-11-19 Caden Lin

We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR model. We introduce vaccination for the susceptible…

Optimization and Control · Mathematics 2022-04-22 Mohamed Abdelaziz Zaitri , Mohand Ouamer Bibi , Delfim F. M. Torres

In order to slow the spread of the CoViD-19 pandemic, governments around the world have enacted a wide set of policies limiting the transmission of the disease. Initially, these focused on non-pharmaceutical interventions; more recently,…

Populations and Evolution · Quantitative Biology 2021-06-24 Janoś Gabler , Tobias Raabe , Klara Röhrl , Hans-Martin von Gaudecker

This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible $\to$ infected $\to$ removed) model for the spread of an epidemic amongst a population of individuals with a random network of social…

Physics and Society · Physics 2016-11-16 Frank Ball , David Sirl

We study vaccine budget-sharing strategies in the SIR (Susceptible-Infected-Recovered) model given a structured community network to investigate the benefit of sharing vaccine across communities. The network studied comprises two…

Physics and Society · Physics 2023-11-14 Felippe Alves , David Saad

The SEIR model is a compartmental model used to simulate the dynamics of an epidemic. In this chapter, we introduce two control functions in the compartmental SEIR model representing vaccination and plasma transfusion. Optimal control…

Optimization and Control · Mathematics 2021-07-23 Juliana Couras , Ivan Area , Juan J. Nieto , Cristiana J. Silva , Delfim F. M. Torres

With the continuous rise of the COVID-19 cases worldwide, it is imperative to ensure that all those vulnerable countries lacking vaccine resources can receive sufficient support to contain the risks. COVAX is such an initiative operated by…

Computational Engineering, Finance, and Science · Computer Science 2022-01-20 Navpreet Kaur , Jason Hughes , Juntao Chen

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

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

The goal of this work is to consider widespread use of face masks as a non-pharmaceutical control strategy for the Covid-19 pandemic. A SEIR model that divides the population into individuals that wear masks and those that do not is…

Populations and Evolution · Quantitative Biology 2021-02-03 João A. M. Gondim