Optimal Control of an HIV Model with Condom Education and Therapy

Marsudi, Noor Hidayat, Ratno Bagus Edy Wibowo

2018

Abstract

In this paper, we propose and analyze an optimal control problem to asses the effectiveness of control measures on the spread of HIV. We formulate and analyze a deterministic mathematical model with use of condom education and antiretroviral therapy as control variables using optimal control theory and Pontryagin’s maximal principle. We formulated the appropriate optimal control problem and investigate the necessary conditions for the disease control in order to determine the role of asymptomatic infectives, pre-AIDS, and full-down AIDS in the spread of HIV. We further investigate the impact of combinations of the strategies in the control of HIV infection. The combination of antiretroviral therapy on pre-AIDS and full-blown AIDS shows a significant difference in the number of the infected individuals in the asymptomatic stage, infected individuals in the pre-AIDS class, and infected individuals in full-blown AIDS class.

Paper Citation

in Harvard Style

Marsudi., Hidayat N. and Wibowo R. (2018). Optimal Control of an HIV Model with Condom Education and Therapy.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 415-419. DOI: 10.5220/0008522804150419

in Bibtex Style

@conference{icmis18,
author={Marsudi and Noor Hidayat and Ratno Bagus Edy Wibowo},
title={Optimal Control of an HIV Model with Condom Education and Therapy},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={415-419},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008522804150419},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - Optimal Control of an HIV Model with Condom Education and Therapy
SN - 978-989-758-407-7
AU - Marsudi.
AU - Hidayat N.
AU - Wibowo R.
PY - 2018
SP - 415
EP - 419
DO - 10.5220/0008522804150419