International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Biological Engineering | Morocco | Volume 5 Issue 2, February 2016


Optimal Control of a Discrete HIV Model with Two Classes of Antiretroviral Therapy

Amine Bouaine | Mostafa Rachik [3]


Abstract: The aim of this work is to set an adequate discrete HIV models taking into consideration two antiretroviral Pro- tease Inhibitors and Reverse Transcriptase Inhibitors. Furthermore, we investigate optimal control strategies in order to reduce infected cells and infectious virions. Using an iterative method, three numerical simulations are carried out, compared and interpreted to confirm the validity of the model and prove the performance of the op- timization strategies. Finally, we improve the patients lives by minimizing serious side effects and also reducing drug costs and duration of treatments


Keywords: Optimal control, Therapy, Discrete HIV model, Pontryagins Maximum Principle


Edition: Volume 5 Issue 2, February 2016,


Pages: 1670 - 1677


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How to Cite this Article?

Amine Bouaine, Mostafa Rachik, "Optimal Control of a Discrete HIV Model with Two Classes of Antiretroviral Therapy", International Journal of Science and Research (IJSR), Volume 5 Issue 2, February 2016, pp. 1670-1677, https://www.ijsr.net/get_abstract.php?paper_id=NOV161473

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