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On Discretization Method for Optimization Control Model for The Treatment of Pathogenic Induced HIV Infection

Author

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  • Bassey E

    (Department of Mathematics/Statistics, Cross River University of Technology, Nigeria)

  • SU Ufoaroh

    (Department of Electronic and Computer Engineering, Nnamdi Azikiwe University, Nigeria)

Abstract

Informed by the lack of definite approach for parametric estimation for the dynamics of dual infectious diseases, this article articulates a basic five-dimensional (5D) - mathematical model. Formulation of the model is presented as a problem of optimization control dynamics of Pathogen-Induced HIV infections. Used as a therapeutic treatment - reverse transcriptase inhibitor, the study aimed at maximizing target functional based control system; that is, to maximize the total number of CD4+ T-cells and minimize the cost of treatment (RTI). Transformation of the model was carried out using ordinary differential equations and analysis performed by a numerical method solved on the basis of a special discretization method called AVK method.

Suggested Citation

  • Bassey E & SU Ufoaroh, 2017. "On Discretization Method for Optimization Control Model for The Treatment of Pathogenic Induced HIV Infection," Current Trends in Clinical & Medical Imaging, Juniper Publishers Inc., vol. 1(5), pages 78-83, April.
    • Handle: RePEc:adp:jctcmi:v:1:y:2017:i:5:p:78-83
    DOI: 10.19080/CTCMI.2017.01.555571
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    References listed on IDEAS

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    1. David D. Ho & Avidan U. Neumann & Alan S. Perelson & Wen Chen & John M. Leonard & Martin Markowitz, 1995. "Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection," Working Papers 95-01-002, Santa Fe Institute.
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