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Modeling the effects of contact tracing on COVID-19 transmission
In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number [Formula: see text] and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapun...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7503445/ https://www.ncbi.nlm.nih.gov/pubmed/32983238 http://dx.doi.org/10.1186/s13662-020-02972-8 |
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author | Traoré, Ali Konané, Fourtoua Victorien |
author_facet | Traoré, Ali Konané, Fourtoua Victorien |
author_sort | Traoré, Ali |
collection | PubMed |
description | In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number [Formula: see text] and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number [Formula: see text] is compared with the basic reproduction number [Formula: see text] for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy. |
format | Online Article Text |
id | pubmed-7503445 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-75034452020-09-21 Modeling the effects of contact tracing on COVID-19 transmission Traoré, Ali Konané, Fourtoua Victorien Adv Differ Equ Research In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number [Formula: see text] and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number [Formula: see text] is compared with the basic reproduction number [Formula: see text] for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy. Springer International Publishing 2020-09-21 2020 /pmc/articles/PMC7503445/ /pubmed/32983238 http://dx.doi.org/10.1186/s13662-020-02972-8 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Research Traoré, Ali Konané, Fourtoua Victorien Modeling the effects of contact tracing on COVID-19 transmission |
title | Modeling the effects of contact tracing on COVID-19 transmission |
title_full | Modeling the effects of contact tracing on COVID-19 transmission |
title_fullStr | Modeling the effects of contact tracing on COVID-19 transmission |
title_full_unstemmed | Modeling the effects of contact tracing on COVID-19 transmission |
title_short | Modeling the effects of contact tracing on COVID-19 transmission |
title_sort | modeling the effects of contact tracing on covid-19 transmission |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7503445/ https://www.ncbi.nlm.nih.gov/pubmed/32983238 http://dx.doi.org/10.1186/s13662-020-02972-8 |
work_keys_str_mv | AT traoreali modelingtheeffectsofcontacttracingoncovid19transmission AT konanefourtouavictorien modelingtheeffectsofcontacttracingoncovid19transmission |