Optimal Control of a Delayed HIV Infection Model with Immune Response Using an Efficient Numerical Method
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a delay-differential equation model with optimal control that describes the interactions between human immunodeficiency virus (HIV), CD4+ T cells, and cell-mediated immune response.
Both the treatment and the intracellular delay are incorporated into the model in order to improve therapies to cure HIV infection.
The optimal controls represent the efficiency of drug treatment in inhibiting viral production and preventing new infections.
Existence for the optimal control pair is established, Pontryagin’s maximum principle is used to characterize these optimal controls, and the optimality system is derived.
For the numerical simulation, we propose a new algorithm based on the forward and backward difference approximation.
American Psychological Association (APA)
Hattaf, Khalid& Yousfi, Noura. 2012. Optimal Control of a Delayed HIV Infection Model with Immune Response Using an Efficient Numerical Method. ISRN Biomathematics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-455184
Modern Language Association (MLA)
Hattaf, Khalid& Yousfi, Noura. Optimal Control of a Delayed HIV Infection Model with Immune Response Using an Efficient Numerical Method. ISRN Biomathematics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-455184
American Medical Association (AMA)
Hattaf, Khalid& Yousfi, Noura. Optimal Control of a Delayed HIV Infection Model with Immune Response Using an Efficient Numerical Method. ISRN Biomathematics. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-455184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455184