Stability and optimal control of a delayed HIV model

Medientyp: E-Artikel
Titel: Stability and optimal control of a delayed HIV model
Beteiligte: Rocha, Diana; Silva, Cristiana J.; Torres, Delfim F. M.
Erschienen: Wiley, 2018
Erschienen in: Mathematical Methods in the Applied Sciences, 41 (2018) 6, Seite 2251-2260
Sprache: Englisch
DOI: 10.1002/mma.4207
ISSN: 0170-4214; 1099-1476
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Beschreibung: We propose and investigate a delayed model that studies the relationship between HIV and the immune system during the natural course of infection and in the context of antiviral treatment regimes. Sufficient criteria for local asymptotic stability of the infected and viral free equilibria are given. An optimal control problem with time delays both in state variables (incubation delay) and control (pharmacological delay) is then formulated and analyzed, where the objective consists to find the optimal treatment strategy that maximizes the number of uninfected CD4 + T cells as well as cytotoxic T lymphocyte immune response cells, keeping the drug therapy as low as possible. Copyright © 2016 John Wiley & Sons, Ltd.

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