Optimal Control of the Lost to Follow Up in a Tuberculosis Model
Joint Authors
Emvudu, Yves
Demasse, Ramsès
Djeudeu, Dany
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Emvudu, Yves& Demasse, Ramsès& Djeudeu, Dany. 2011. Optimal Control of the Lost to Follow Up in a Tuberculosis Model. Computational and Mathematical Methods in Medicine،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-469024
Modern Language Association (MLA)
Emvudu, Yves…[et al.]. Optimal Control of the Lost to Follow Up in a Tuberculosis Model. Computational and Mathematical Methods in Medicine No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-469024
American Medical Association (AMA)
Emvudu, Yves& Demasse, Ramsès& Djeudeu, Dany. Optimal Control of the Lost to Follow Up in a Tuberculosis Model. Computational and Mathematical Methods in Medicine. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-469024
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469024
