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An Optimal Treatment Control of TB-HIV Coinfection
Joint Authors
Tasman, Hengki
Fatmawati, Frank
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fatmawati, Frank& Tasman, Hengki. 2016. An Optimal Treatment Control of TB-HIV Coinfection. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1106327
Modern Language Association (MLA)
Fatmawati, Frank& Tasman, Hengki. An Optimal Treatment Control of TB-HIV Coinfection. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1106327
American Medical Association (AMA)
Fatmawati, Frank& Tasman, Hengki. An Optimal Treatment Control of TB-HIV Coinfection. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1106327
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106327