Optimal Control of the Lost to Follow Up in a Tuberculosis Model

This paper deals with the problem of optimal control for the transmission dynamics of tuberculosis (TB). A TB model that considers the existence of a new class (mainly in the African context) is considered: the lost to follow up individuals. Based on the model formulated and studied in the work of P...

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Detalles Bibliográficos
Autores principales: Emvudu, Yves, Demasse, Ramsès, Djeudeu, Dany
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2011
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3191742/
https://www.ncbi.nlm.nih.gov/pubmed/22007263
http://dx.doi.org/10.1155/2011/398476
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author Emvudu, Yves
Demasse, Ramsès
Djeudeu, Dany
author_facet Emvudu, Yves
Demasse, Ramsès
Djeudeu, Dany
author_sort Emvudu, Yves
collection PubMed
description This paper deals with the problem of optimal control for the transmission dynamics of tuberculosis (TB). A TB model that considers the existence of a new class (mainly in the African context) is considered: the lost to follow up individuals. Based on the model formulated and studied in the work of Plaire Tchinda Mouofo, (2009), the TB control is formulated and solved as an optimal control theory problem using the Pontryagin's maximum principle (Pontryagin et al., 1992). This control strategy indicates how the control of the lost to follow up class can considerably influence the basic reproduction ratio so as to reduce the number of lost to follow up. Numerical results show the performance of the optimization strategy.
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spelling pubmed-31917422011-10-17 Optimal Control of the Lost to Follow Up in a Tuberculosis Model Emvudu, Yves Demasse, Ramsès Djeudeu, Dany Comput Math Methods Med Research Article This paper deals with the problem of optimal control for the transmission dynamics of tuberculosis (TB). A TB model that considers the existence of a new class (mainly in the African context) is considered: the lost to follow up individuals. Based on the model formulated and studied in the work of Plaire Tchinda Mouofo, (2009), the TB control is formulated and solved as an optimal control theory problem using the Pontryagin's maximum principle (Pontryagin et al., 1992). This control strategy indicates how the control of the lost to follow up class can considerably influence the basic reproduction ratio so as to reduce the number of lost to follow up. Numerical results show the performance of the optimization strategy. Hindawi Publishing Corporation 2011 2011-10-11 /pmc/articles/PMC3191742/ /pubmed/22007263 http://dx.doi.org/10.1155/2011/398476 Text en Copyright © 2011 Yves Emvudu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Emvudu, Yves
Demasse, Ramsès
Djeudeu, Dany
Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title_full Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title_fullStr Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title_full_unstemmed Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title_short Optimal Control of the Lost to Follow Up in a Tuberculosis Model
title_sort optimal control of the lost to follow up in a tuberculosis model
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3191742/
https://www.ncbi.nlm.nih.gov/pubmed/22007263
http://dx.doi.org/10.1155/2011/398476
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AT demasseramses optimalcontrolofthelosttofollowupinatuberculosismodel
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