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Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of \(CD4^{+}T\) Cells

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Abstract

The main goal of this study was to develop a theoretical short- and long-term optimal control treatment of HIV infection of \(CD4^{+}T\) cells. The aim of the mathematical model used herein is to make the free HIV virus particles in the blood decrease, while administering a treatment that is less toxic to patients. Pontryagin’s classical control theory is applied to a mathematical model of HIV infection of \(CD4^{+}T\) cells characterized by a system of nonlinear differential equations with the following unknown functions: the concentration of susceptible \(CD4^{+}T\) cells, \(CD4^{+}T\) cells infected by the HIV viruses and free HIV virus particles in the blood.

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Acknowledgments

The author would like to thank the anonymous reviewers for the constructive feedback provided during the reviewing process.

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  1. Kennesaw State University, 1000 Chastain Rd., Kennesaw, GA, 30144, USA

    Ana-Maria Croicu

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  1. Ana-Maria Croicu
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Croicu, AM. Short- and Long-Term Optimal Control of a Mathematical Model for HIV Infection of \(CD4^{+}T\) Cells. Bull Math Biol 77, 2035–2071 (2015). https://doi.org/10.1007/s11538-015-0114-4

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