Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24505
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 Stability 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 |
URI: | http://hdl.handle.net/10773/24505 |
DOI: | 10.3934/dcdsb.2018030 |
ISSN: | 1531-3492 |
Publisher Version: | http://dx.doi.org/10.3934/dcdsb.2018030 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[385]Rodrigues_Silva_Torres_Maurer.pdf | 620.53 kB | Adobe PDF | View/Open |
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