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Stability and Feedback Stabilization of HIV Infection Model with Two Classes of Target Cells
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-15
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We study the stability and feedback stabilization of the uninfected steady state of a human immunodeficiency virus (HIV) infection model.
The model is a 6-dimensional nonlinear ODEs that describes the interaction of the HIV with two classes of target cells, CD4+ T cells and macrophages, and takes into account the Cytotoxic T Lymphocytes (CTLs) immune response.
Lyapunov function is constructed to establish the global asymptotic stability of the uninfected steady state of the model.
In a control system framework, the HIV infection model incorporating the effect of Highly Active AntiRetroviral Therapy (HAART) is considered as a nonlinear control system with drug dose as control input.
We developed treatment schedules for HIV-infected patients by using Model Predictive Control (MPC-)based method.
The MPC is constructed on the basis of an approximate discrete-time model of the HIV infection model.
The MPC is applied to the stabilization of the uninfected steady state of the HIV infection model.
Besides model inaccuracies that HIV infection model suffers from, some disturbances/uncertainties from different sources may arise in the modelling.
In this work the disturbances are modelled in the HIV infection model as additive bounded disturbances.
The robustness of the MPC against small model uncertainties or disturbances is also shown.
American Psychological Association (APA)
Elaiw, A. M.& Shehata, A. M.. 2012. Stability and Feedback Stabilization of HIV Infection Model with Two Classes of Target Cells. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-511895
Modern Language Association (MLA)
Elaiw, A. M.& Shehata, A. M.. Stability and Feedback Stabilization of HIV Infection Model with Two Classes of Target Cells. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-511895
American Medical Association (AMA)
Elaiw, A. M.& Shehata, A. M.. Stability and Feedback Stabilization of HIV Infection Model with Two Classes of Target Cells. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-511895
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511895