Optimal control of a delayed HIV model
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.
Keywords
Cite
@article{arxiv.1708.06451,
title = {Optimal control of a delayed HIV model},
author = {Filipe Rodrigues and Cristiana J. Silva and Delfim F. M. Torres and Helmut Maurer},
journal= {arXiv preprint arXiv:1708.06451},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems - Series B' (DCDS-B), ISSN 1531-3492 (print), ISSN 1553-524X (online), available at [http://aimsciences.org/journals/home.jsp?journalID=2]. Paper Submitted 12-July-2016; Revised 26-Nov-2016 and 01-March-2017; Accepted 21-Aug-2017