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Chaos control in HIV Infection of CD₄⁺ T-cells System by Lie Algebraic Exact Linearization

Assistant Professor, Department of General Requirements, College of Applied Sciences, Nizwa, Oman.

Periodicity:January - March'2016
DOI : https://doi.org/10.26634/jmat.5.1.4868

Abstract

This Paper deals with the control of chaotic dynamics of healthy, infected CD⁺₄ T-cells and free HIV (Human Immunodeficiency Virus) cells in a chaotic system of HIV infection of CD⁺₄ T-cells by implementing a Lie algebraic exact linearization technique. A nonlinear feedback control law is designed, which induces a co-ordinate transformation thereby changing the original chaotic HIV system into a controlled linear system. Numerical simulation has been carried by using Mathematica that witness the robustness of the technique implemented on the chosen chaotic system.

Keywords

Exact Linearization, Lie Bracket, Lie Derivative, Nonlinear Feedback, HIV Model.

How to Cite this Article?

Shahzad,M. (2016). Chaos control in HIV Infection of CD₄⁺ T-cells System by Lie Algebraic Exact Linearization. i-manager’s Journal on Mathematics, 5(1), 20-30. https://doi.org/10.26634/jmat.5.1.4868

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Chaos control in HIV Infection of CD4+ T-cells System by Lie Algebraic Exact Linearization