International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 6, Issue 5 (May 2019), Pages: 44-49

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 Original Research Paper

 Title: Analysis of optimal control problem of HIV-1 model of engineered virus

 Author(s): Nigar Ali 1, *, Muhammad Ikhlaq Chohan 2, Sajjad Ali 1, Gul Zaman 1, Ibrahim Ibrahim 1

 Affiliation(s):

 1Department of Mathematics, University of Malakand, Chakadara Dir (L), Khyber Pakhtunkhwa, Pakistan
 2Department of Business Administration and Accounting, Buraimi University College, Al-Buraimi, Oman

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-6920-3194

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2019.05.008

 Abstract:

In this article, an optimal control problem of HIV-1 infection model consists of pathogen virus and engineered virus is taken into account. The purpose of this work is to investigate an optimal control model of drug treatment of HIV infection of genetically modified virus and CD4+T-cells. The optimal control problem is to design an effective drug plan in order to reduce the number of infected cells and free virions for patients infected by HIV. Two kinds of treatments are used, and existence and uniqueness results for the optimal control pair are established. Pontryagins maximum principle is used to characterize the optimal levels of the controls. The results of optimality are solved numerically using MATLAB software. In the last few decades, the researchers have focused on controlling problems on similar models of HIV infection in different types of models using treatment with a single drug and similar objective functional. Many researchers have studied the HIV models consisting of the only class of pathogen virus and class of single infected cells. Here we consider the HIV-1 optimal control problem consisting of a genetically modified virus and double infected cells. 

 © 2019 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: HIV-1 model, Optimal control problem, Recombinant virus, Pontryagins maximum principle, Objective functional

 Article History: Received 26 November 2018, Received in revised form 9 March 2019, Accepted 13 March 2019

 Acknowledgement:

No Acknowledgement. 

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Ali N, Chohan MI, and Ali S et al. (2019). Analysis of optimal control problem of HIV-1 model of engineered virus. International Journal of Advanced and Applied Sciences, 6(5): 44-49

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 Figures

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