2018•AIP conference proceedingsRequires access

The effectiveness of an antiretroviral treatment (ARV) and a highly active antiretroviral therapy (HAART) on HIV/AIDS epidemic model

Ummu Habibah, Ririt Andria Sari

Abstract

The effectiveness of an antiretroviral (ARV) treatment and a highly active antiretroviral therapy (HAART) on the epidemic model of HIV/AIDS is investigated. We apply the theory of optimal control where an antiretroviral (ARV) treatment and a highly active antiretroviral therapy (HAART) are used as control strategies in order to prevent the spread of HIV/AIDS. We apply Pontryagin’s Maximum Principle to get the optimal system. Numerical simulations are conducted to support the analytical solution so that the effectiveness of an antiretroviral (ARV) treatment and a highly active antiretroviral therapy (HAART) can be shown.

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Key concepts: Antiretroviral therapy, Antiretroviral treatment, Human immunodeficiency virus (HIV), Medicine, Pontryagin's minimum principle, Optimal control, Viral load, Virology