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dc.contributor.authorFister, K. Renee ( )
dc.contributor.authorLenhart, Suzanne ( )
dc.contributor.authorMcNally, Joseph Scott ( )
dc.date.accessioned2019-03-19T15:31:25Z
dc.date.available2019-03-19T15:31:25Z
dc.date.issued1998-12-04
dc.identifier.citationFister, K. R., Lenhart, S. & McNally, J. S. (1998). Optimizing chemotherapy in an HIV model. Electronic Journal of Differential Equations, 1998(32), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/7929
dc.description.abstractWe examine an ordinary differential system modeling the interaction of the HIV virus and the immune system of the human body. The optimal control represents a percentage effect the chemotherapy has on the interaction of the CD4+T cells with the virus. We maximize the benefit based on the T cell count and minimize the systemic cost based on the percentage of chemotherapy given. Existence of an optimal control is proven, and the optimal control is uniquely characterized in terms of the solution of the optimality system, which is the state system coupled with the adjoint system. In addition, numerical examples are given for illustration.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectChemotherapyen_US
dc.subjectHIVen_US
dc.subjectOptimal controlen_US
dc.titleOptimizing Chemotherapy in an HIV Modelen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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