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Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model

Tuberculosis and COVID-19 are among the diseases with major global public health concern and great socio-economic impact. Co-infection of these two diseases is inevitable due to their geographical overlap, a potential double blow as their clinical similarities could hamper strategies to mitigate the...

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Autores principales: Goudiaby, M.S., Gning, L.D., Diagne, M.L., Dia, Ben M., Rwezaura, H., Tchuenche, J.M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier Ltd. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8759807/
https://www.ncbi.nlm.nih.gov/pubmed/35071729
http://dx.doi.org/10.1016/j.imu.2022.100849
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author Goudiaby, M.S.
Gning, L.D.
Diagne, M.L.
Dia, Ben M.
Rwezaura, H.
Tchuenche, J.M.
author_facet Goudiaby, M.S.
Gning, L.D.
Diagne, M.L.
Dia, Ben M.
Rwezaura, H.
Tchuenche, J.M.
author_sort Goudiaby, M.S.
collection PubMed
description Tuberculosis and COVID-19 are among the diseases with major global public health concern and great socio-economic impact. Co-infection of these two diseases is inevitable due to their geographical overlap, a potential double blow as their clinical similarities could hamper strategies to mitigate their spread and transmission dynamics. To theoretically investigate the impact of control measures on their long-term dynamics, we formulate and analyze a mathematical model for the co-infection of COVID-19 and tuberculosis. Basic properties of the tuberculosis only and COVID-19 only sub-models are investigated as well as bifurcation analysis (possibility of the co-existence of the disease-free and endemic equilibria). The disease-free and endemic equilibria are globally asymptotically stable. The model is extended into an optimal control system by incorporating five control measures. These are: tuberculosis awareness campaign, prevention against COVID-19 (e.g., face mask, physical distancing), control against co-infection, tuberculosis and COVID-19 treatment. Five strategies which are combinations of the control measures are investigated. Strategy B which focuses on COVID-19 prevention, treatment and control of co-infection yields a better outcome in terms of the number of COVID-19 cases prevented at a lower percentage of the total cost of this strategy.
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spelling pubmed-87598072022-01-18 Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model Goudiaby, M.S. Gning, L.D. Diagne, M.L. Dia, Ben M. Rwezaura, H. Tchuenche, J.M. Inform Med Unlocked Article Tuberculosis and COVID-19 are among the diseases with major global public health concern and great socio-economic impact. Co-infection of these two diseases is inevitable due to their geographical overlap, a potential double blow as their clinical similarities could hamper strategies to mitigate their spread and transmission dynamics. To theoretically investigate the impact of control measures on their long-term dynamics, we formulate and analyze a mathematical model for the co-infection of COVID-19 and tuberculosis. Basic properties of the tuberculosis only and COVID-19 only sub-models are investigated as well as bifurcation analysis (possibility of the co-existence of the disease-free and endemic equilibria). The disease-free and endemic equilibria are globally asymptotically stable. The model is extended into an optimal control system by incorporating five control measures. These are: tuberculosis awareness campaign, prevention against COVID-19 (e.g., face mask, physical distancing), control against co-infection, tuberculosis and COVID-19 treatment. Five strategies which are combinations of the control measures are investigated. Strategy B which focuses on COVID-19 prevention, treatment and control of co-infection yields a better outcome in terms of the number of COVID-19 cases prevented at a lower percentage of the total cost of this strategy. The Authors. Published by Elsevier Ltd. 2022 2022-01-15 /pmc/articles/PMC8759807/ /pubmed/35071729 http://dx.doi.org/10.1016/j.imu.2022.100849 Text en © 2022 The Authors 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
Goudiaby, M.S.
Gning, L.D.
Diagne, M.L.
Dia, Ben M.
Rwezaura, H.
Tchuenche, J.M.
Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title_full Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title_fullStr Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title_full_unstemmed Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title_short Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model
title_sort optimal control analysis of a covid-19 and tuberculosis co-dynamics model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8759807/
https://www.ncbi.nlm.nih.gov/pubmed/35071729
http://dx.doi.org/10.1016/j.imu.2022.100849
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