Stability analysis and memetic computation using differential evolution for in-host HIV model

Musharif Ahmed (), Muhammad Aamer Saleem (), Muhammad Zubair (), Ijaz Mansoor Qureshi () and Saad Zafar ()
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Musharif Ahmed: Riphah International University
Muhammad Aamer Saleem: Hamdard University
Muhammad Zubair: Riphah International University
Ijaz Mansoor Qureshi: Air University
Saad Zafar: Riphah International University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 76-91

Abstract: Abstract Since the appearance of HIV, various mathematical models have been proposed to describe the dynamics of the disease. These models are helpful not only to understand the various aspects of disease progression but also help to discover effective drug therapy. In this paper, we have used memetic computing to solve the modified model of HIV dynamics of CD $$4^+$$ 4 + T cells with the help of differential evolution and Bernstein polynomials. The results of the proposed methodology approach that of the Runge-Kutta method. Furthermore, the stability analysis of the equilibria of this model is also performed. The disease-free equilibrium is found to be unstable within the realistic range of parameters, while the endemic equilibrium could be stable or unstable, depending upon the value of the infection rate.

Keywords: Human Immunodeficiency Virus; CD $$4^+$$ 4 + T; Stability Analysis; Bernstein Polynomial; Differential Evolution; Sequential Quadratic Programming (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00022-x

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