Fatmawati, .- and Hengki Tasman, .- (2016) An Optimal Treatment Control of TB-HIV Coinfection. International Journal of Mathematics and Mathematical Sciences, 2016 (826120). pp. 1-17. ISSN 16870425

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Abstract

An optimal control on the treatment of the transmission of tuberculosis-HIV coinfection model is proposed in this paper. We use two treatments, that is, anti-TB and antiretroviral, to control the spread of TB and HIV infections, respectively. We first present an uncontrolled TB-HIV coinfection model. The model exhibits four equilibria, namely, the disease-free, the HIV-free, the TB-free, and the coinfection equilibria. We further obtain two basic reproduction ratios corresponding to TB and HIV infections. These ratios determine the existence and stability of the equilibria of the model. The optimal control theory is then derived analytically by applying the Pontryagin Maximum Principle. The optimality system is performed numerically to illustrate the effectiveness of the treatments.

Item Type:	Article
Subjects:	Q Science Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA370-387 Differential Equations
Divisions:	08. Fakultas Sains dan Teknologi > Matematika
Creators:	Creators NIM Fatmawati, .- UNSPECIFIED Hengki Tasman, .- UNSPECIFIED
Depositing User:	Mr Vega Andi Budiman
Date Deposited:	22 Mar 2022 15:06
Last Modified:	22 Mar 2022 15:06
URI:	http://repository.unair.ac.id/id/eprint/114282
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