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Modelling Optimal Control of In-Host HIV Dynamics Using Different Control Strategies
Joint Authors
Mbogo, Rachel Waema
Ngina, Purity
Luboobi, Livingstone S.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-04
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
HIV is one of the major causes of deaths, especially in Sub-Saharan Africa.
In this paper, an in vivo deterministic model of differential equations is presented and analyzed for HIV dynamics.
Optimal control theory is applied to investigate the key roles played by the various HIV treatment strategies.
In particular, we establish the optimal strategies for controlling the infection using three treatment regimes as the system control variables.
We have applied Pontryagin’s Maximum Principle in characterizing the optimality control, which then has been solved numerically by applying the Runge-Kutta forth-order scheme.
The numerical results indicate that an optimal controlled treatment strategy would ensure significant reduction in viral load and also in HIV transmission.
It is also evident from the results that protease inhibitor plays a key role in virus suppression; this is not to underscore the benefits accrued when all the three drug regimes are used in combination.
American Psychological Association (APA)
Ngina, Purity& Mbogo, Rachel Waema& Luboobi, Livingstone S.. 2018. Modelling Optimal Control of In-Host HIV Dynamics Using Different Control Strategies. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1132243
Modern Language Association (MLA)
Ngina, Purity…[et al.]. Modelling Optimal Control of In-Host HIV Dynamics Using Different Control Strategies. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1132243
American Medical Association (AMA)
Ngina, Purity& Mbogo, Rachel Waema& Luboobi, Livingstone S.. Modelling Optimal Control of In-Host HIV Dynamics Using Different Control Strategies. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1132243
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132243