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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Authors. Published by Elsevier Ltd.
2022
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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. |
format | Online Article Text |
id | pubmed-8759807 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Authors. Published by Elsevier Ltd. |
record_format | MEDLINE/PubMed |
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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