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Vaccination and social distance to prevent COVID-19

In order to analyze the effect of vaccination in a population with the presence of viruses, a variation of the SIR (Susceptible-Infected-Removed) model is proposed taking into account social distancing and the effect of the vaccine. The equilibrium points of the proposed model are calculated and the...

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Autores principales: Batistela, Cristiane M., Ramos, Marien M., Cabrera, Manuel A.M., Dieguez, Giovanni M., Piqueira, José R.C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: , IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8562104/
http://dx.doi.org/10.1016/j.ifacol.2021.10.247
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author Batistela, Cristiane M.
Ramos, Marien M.
Cabrera, Manuel A.M.
Dieguez, Giovanni M.
Piqueira, José R.C.
author_facet Batistela, Cristiane M.
Ramos, Marien M.
Cabrera, Manuel A.M.
Dieguez, Giovanni M.
Piqueira, José R.C.
author_sort Batistela, Cristiane M.
collection PubMed
description In order to analyze the effect of vaccination in a population with the presence of viruses, a variation of the SIR (Susceptible-Infected-Removed) model is proposed taking into account social distancing and the effect of the vaccine. The equilibrium points of the proposed model are calculated and the stability analysis of the system is carried out. For the proposed model, disease-free equilibrium point and endemic equilibrium point are found and the conditions of existence are discussed. For the disease-free equilibrium point the bifurcation conditions are derived and simulations show that reducing the vaccination effort can lead the disease-free equilibrium to the endemic equilibrium. From the theoretical analysis, a minimum value of effort is obtained to guarantee a disease-free equilibrium point. Simulations were carried out from the value obtained from R(v) to validate the theoretical results.
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spelling pubmed-85621042021-11-02 Vaccination and social distance to prevent COVID-19 Batistela, Cristiane M. Ramos, Marien M. Cabrera, Manuel A.M. Dieguez, Giovanni M. Piqueira, José R.C. IFAC-PapersOnLine Article In order to analyze the effect of vaccination in a population with the presence of viruses, a variation of the SIR (Susceptible-Infected-Removed) model is proposed taking into account social distancing and the effect of the vaccine. The equilibrium points of the proposed model are calculated and the stability analysis of the system is carried out. For the proposed model, disease-free equilibrium point and endemic equilibrium point are found and the conditions of existence are discussed. For the disease-free equilibrium point the bifurcation conditions are derived and simulations show that reducing the vaccination effort can lead the disease-free equilibrium to the endemic equilibrium. From the theoretical analysis, a minimum value of effort is obtained to guarantee a disease-free equilibrium point. Simulations were carried out from the value obtained from R(v) to validate the theoretical results. , IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. 2021 2021-11-02 /pmc/articles/PMC8562104/ http://dx.doi.org/10.1016/j.ifacol.2021.10.247 Text en © 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Batistela, Cristiane M.
Ramos, Marien M.
Cabrera, Manuel A.M.
Dieguez, Giovanni M.
Piqueira, José R.C.
Vaccination and social distance to prevent COVID-19
title Vaccination and social distance to prevent COVID-19
title_full Vaccination and social distance to prevent COVID-19
title_fullStr Vaccination and social distance to prevent COVID-19
title_full_unstemmed Vaccination and social distance to prevent COVID-19
title_short Vaccination and social distance to prevent COVID-19
title_sort vaccination and social distance to prevent covid-19
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8562104/
http://dx.doi.org/10.1016/j.ifacol.2021.10.247
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