An optimal treatment control of TB-HIV coinfection
type: Item
instance of: scholarly article
title: An optimal treatment control of TB-HIV coinfection
zbMATH Open document ID: 1403.92119
DOI: 10.1155/2016/8261208
author: Fatmawati
author: Hengki Tasman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 49N90
zbMATH DE Number: 6873327
zbMATH Keywords: transmission of tuberculosis-HIV coinfection
zbMATH Keywords: optimal treatment control
Wikidata QID: Q59124628
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8261208
OpenAlex ID: W2328420549
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description: scientific article; zbMATH DE number 6873327