Optimal Control of a Time Delayed HIV-1 Infection Model

Authors

  • Nigar Ali Department of Mathematics University of Malakand
  • Muhammad Ikhlaq Chohan
  • Gul Zaman

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3416

Abstract

In this paper, an optimal control problem of HIV infection model of delay differential equations is taken into account. Then we set a control function which represents the efficiency of reverse transcriptase inhibitors. Objective functional is constructed to minimize the virus concentration as well as treatment costs.Adjoint system is derived using Pontryagins Maximum Principle. Optimality system is calculated and numerical simulation is carried out to illustrate the theoretical results. Finally, conclusion is drawn

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Optimal Control of a Time Delayed HIV-1 Infection Model. (2019). European Journal of Pure and Applied Mathematics, 12(2), 506-518. https://doi.org/10.29020/nybg.ejpam.v12i2.3416