Optimal control of a delayed HIV infection model via Fourier series
type: Item
instance of: scholarly article
title: Optimal control of a delayed HIV infection model via Fourier series
zbMATH Open document ID: 1407.92075
DOI: 10.1155/2014/945158
author: Xianqiang Yang
published in: Journal of Nonlinear Dynamics
publication date: 2019-02-27T00:00:00Z
review text: Summary: We present a delayed optimal control which describes the interaction of the immune system with the human immunodeficiency virus (HIV) and CD4 T-cells. In order to improve the therapies, treatment and the intracellular delays are incorporated into the model. The optimal control in this model represents the efficiency of drug treatment in preventing viral production and new infections. The optimal pair of control and trajectories of this nonlinear delay system with quadratic cost functional is obtained by Fourier series approximation. The method is based on expanding time varying functions in the nonlinear delay system into their Fourier series with unknown coefficients. Using operational matrices for integration, product, and delay, the problem is reduced to a set of nonlinear algebraic equations.
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 7029946
Wikidata QID: Q59058133
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/945158
OpenAlex ID: W2080168296
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description: scientific article; zbMATH DE number 7029946