Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control

The condition in which an individual is affected by TB and HIV/AIDS in his body is called a TB-HIV/AIDS coinfection. This research aims to minimize the populations of TB-HIV/AIDS coinfection with a minimum expenditure on medical expenses, that means minimizing the objective’s function ( ) or purpose...

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Autores principales:	Yuyun Monita, Putroue Keumala Intan
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2021
Materias:	tb-hiv/aids coinfection pontryagin, fourth order runge-kutta Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/40dcb27bf8ba4c28bdb0f80b19a0c3cc
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spelling	oai:doaj.org-article:40dcb27bf8ba4c28bdb0f80b19a0c3cc2021-12-02T15:30:25ZControl of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control2527-31592527-316710.15642/mantik.2021.7.1.96-106https://doaj.org/article/40dcb27bf8ba4c28bdb0f80b19a0c3cc2021-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1080https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167The condition in which an individual is affected by TB and HIV/AIDS in his body is called a TB-HIV/AIDS coinfection. This research aims to minimize the populations of TB-HIV/AIDS coinfection with a minimum expenditure on medical expenses, that means minimizing the objective’s function ( ) or purpose function. In this research, modification of the model was carried out by adding the treatment population for HIV patients with ARV ( ). The population used was 11 classes with the use of three controls including treatment for individuals with latent TB ( ), active TB ( ), and HIV ( ). After performing numerical simulation using the forward backward fourth order Runge-Kutta, the results show that scenario 7 is the best scenario in controlling the spread of TB-HIV/AIDS coinfection because it resulted a minimum value of 1401,44. This means that providing the treatment for individuals with latent TB, active TB, and HIV in tandem can reduce the populations of TB-HIV/AIDS coinfection in the minimum treatment cost.Yuyun MonitaPutroue Keumala IntanDepartment of Mathematics, UIN Sunan Ampel Surabayaarticletb-hiv/aids coinfectionpontryagin, fourth order runge-kuttaMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 7, Iss 1, Pp 96-106 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	tb-hiv/aids coinfection pontryagin, fourth order runge-kutta Mathematics QA1-939
spellingShingle	tb-hiv/aids coinfection pontryagin, fourth order runge-kutta Mathematics QA1-939 Yuyun Monita Putroue Keumala Intan Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
description	The condition in which an individual is affected by TB and HIV/AIDS in his body is called a TB-HIV/AIDS coinfection. This research aims to minimize the populations of TB-HIV/AIDS coinfection with a minimum expenditure on medical expenses, that means minimizing the objective’s function ( ) or purpose function. In this research, modification of the model was carried out by adding the treatment population for HIV patients with ARV ( ). The population used was 11 classes with the use of three controls including treatment for individuals with latent TB ( ), active TB ( ), and HIV ( ). After performing numerical simulation using the forward backward fourth order Runge-Kutta, the results show that scenario 7 is the best scenario in controlling the spread of TB-HIV/AIDS coinfection because it resulted a minimum value of 1401,44. This means that providing the treatment for individuals with latent TB, active TB, and HIV in tandem can reduce the populations of TB-HIV/AIDS coinfection in the minimum treatment cost.
format	article
author	Yuyun Monita Putroue Keumala Intan
author_facet	Yuyun Monita Putroue Keumala Intan
author_sort	Yuyun Monita
title	Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
title_short	Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
title_full	Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
title_fullStr	Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
title_full_unstemmed	Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control
title_sort	control of the spread of tb-hiv/aids coinfection using optimal control
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2021
url	https://doaj.org/article/40dcb27bf8ba4c28bdb0f80b19a0c3cc
work_keys_str_mv	AT yuyunmonita controlofthespreadoftbhivaidscoinfectionusingoptimalcontrol AT putrouekeumalaintan controlofthespreadoftbhivaidscoinfectionusingoptimalcontrol
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Control of The Spread of TB-HIV/AIDS Coinfection Using Optimal Control

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