<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the uninfected CD4+T cells and minimize the cost of drug, utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus(HIV). The optimal pair of control and trajectories of this nonlinear system with quadratic cost functional is obtained by Fourier series approximation. The method is based upon expanding time varying functions in the nonlinear system as their Fourier series, using the operational matrices for integration and product. The problem is reduced into a set of algebraic equations</p></abstract>

This paper proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the uninfected CD4+T cells and minimize the cost of drug, utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus(HIV). The optimal pair of control and trajectories of this nonlinear system with quadratic cost functional is obtained by Fourier series approximation. The method is based upon expanding time varying functions in the nonlinear system as their Fourier series, using the operational matrices for integration and product. The problem is reduced into a set of algebraic equations

Optimal control strategy for a HIV infection model via fourier series

Journal of Applied Mathematics, Statistics and Informatics

{"article-title":"Optimal control strategy for a HIV infection model via fourier series"}

This paper proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the uninfected CD4+T...

Optimal control strategy for a HIV infection model via fourier series

Published Online: Mar 07, 2014

Page range: 87 - 94

DOI: https://doi.org/10.2478/jamsi-2013-0015

Keywords
HIV/AIDS, Immunotherapy, Optimal control, Fourier series operational matrix, Fourier series approximation, Fourier series product operational matrix

This content is open access.

Optimal control strategy for a HIV infection model via fourier series

Published Online: Mar 07, 2014

Page range: 87 - 94

DOI: https://doi.org/10.2478/jamsi-2013-0015

KeywordsHIV/AIDS, Immunotherapy, Optimal control, Fourier series operational matrix, Fourier series approximation, Fourier series product operational matrix

This content is open access.

Keywords
HIV/AIDS, Immunotherapy, Optimal control, Fourier series operational matrix, Fourier series approximation, Fourier series product operational matrix