Optimal Control of an HIV Model with Education Campaign, Screening and Treatment | Chapter 6 | Advanced Aspects of Engineering Research Vol. 13

The optimum control theory was applied to a system of differential equations to meet the goal of reducing the infected population and limiting disease spread. The essential conditions of an optimal control issue were carefully investigated using Pontryagin's maximum theory. Human education, screening, and treatment of diseased persons were employed as prevention measures, and their results were clearly shown. The Runge-Kutta forward-backward sweep numerical approximation method is used to calculate the optimal control scheme. As controls, the numerical outcomes are displayed with the levels of educational campaigns, screening, and treatment rates. According to a sensitivity analysis, the interaction rate of susceptible to unaware HIV infection is the most sensitive parameter on the number of successful reproductions, while the progression rate of the treated class to full-blown AIDS is the least sensitive.

Author (s) Details

Marsudi
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran, Malang 65145, Indonesia.

Trisilowati
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran, Malang 65145, Indonesia.

Agus Suryanto
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran, Malang 65145, Indonesia.

Isnani Darti
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jl. Veteran, Malang 65145, Indonesia.

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