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dc.contributor.authorGarira, Winston ( )
dc.contributor.authorMusekwa, Senelani D. ( Orcid Icon 0000-0002-2194-6343 )
dc.contributor.authorShiri, Tinevimbo ( )
dc.date.accessioned2021-05-28T13:52:45Z
dc.date.available2021-05-28T13:52:45Z
dc.date.issued2005-05-17
dc.identifier.citationGarira, W., Musekwa, S. D., & Shiri, T. (2005). Optimal control of combined therapy in a single strain HIV-1 model. Electronic Journal of Differential Equations, 2005(52), pp. 1-22.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13652
dc.description.abstractHighly active antiretroviral therapy (HAART) is administered to symptomatic human immunodeficiency virus (HIV) infected individuals to improve their health. Various administration schemes are used to improve patients' lives and at the same time suppressing development of drug resistance, reduce evolution of new viral strains, minimize serious side effects, improve patient adherence and also reduce the costs of drugs. We deduce an optimal drug administration scheme useful in improving patients' health especially in poor resourced settings. In this paper we use the Pontryagin's Maximum Principle to derive optimal drug dosages based on a mathematical dynamical model. We use methods of optimal control to determine optimal controls analytically, and then use the Runge-Kutta scheme of order four to numerically simulate different therapy effects. We simulate the different effects of a drug regimen composed of a protease inhibitor and a nucleoside reverse transcriptase inhibitor. Our results indicate that for highly toxic drugs, small dosage sizes and allowing drug holidays make a profound impact in both improving the quality of life and reducing economic costs of therapy. The results show that for drugs with less toxicity, continuous therapy is beneficial.en_US
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectHIVen_US
dc.subjectMathematical modelen_US
dc.subjectOptimal controlen_US
dc.subjectCombined therapyen_US
dc.titleOptimal control of combined therapy in a single strain HIV-1 modelen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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