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Title: Optimal control of a delayed HIV model
Author: Rodrigues, Filipe
Silva, Cristiana J.
Torres, Delfim F. M.
Maurer, Helmut
Keywords: HIV
Intracellular and pharmacological time delays
Qualitative investigation and simulation of models
Optimal control
Issue Date: Jan-2018
Abstract: We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency of reverse transcriptase inhibitors and consider the pharmacological delay associated to the control. Finally, we propose and analyze an optimal control problem with state and control delays. Through numerical simulations, extremal solutions are proposed for minimization of the virus concentration and treatment costs.
Peer review: yes
DOI: 10.3934/dcdsb.2018030
ISSN: 1531-3492
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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