Modelling optimal control of in-host HIV dynamics using different control strategies
type: Item
instance of: scholarly article
title: Modelling optimal control of in-host HIV dynamics using different control strategies
zbMATH Open document ID: 1411.92177
DOI: 10.1155/2018/9385080
author: Purity Ngina
author: Waema R. Mbogo
author: Livingstone S. Luboobi
published in: Computational \& Mathematical Methods in Medicine
publication date: 2019-03-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 7043214
zbMATH Keywords: HIV dynamics
zbMATH Keywords: in vivo deterministic model
zbMATH Keywords: optimal control
zbMATH Keywords: treatment regimes
Wikidata QID: Q55425768
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9385080
OpenAlex ID: W2805715773
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DBLP publication ID: journals/cmmm/NginaML18
description: scientific article; zbMATH DE number 7043214