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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Musharif Ahmed & Muhammad Aamer Saleem & Muhammad Zubair & Ijaz Mansoor Qureshi & Saad Zafar, 2022. "Stability analysis and memetic computation using differential evolution for in-host HIV model," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 76-91, March.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:1:d:10.1007_s13226-021-00022-x
    DOI: 10.1007/s13226-021-00022-x
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    References listed on IDEAS

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    1. Alan S. Perelson & Avidan U. Neumann & Martin Markowitz & John M. Leonard & David D. Ho, 1996. "HIV-1 Dynamics In Vivo: Virion Clearance Rate, Infected Cell Lifespan, and Viral Generation Time," Working Papers 96-02-004, Santa Fe Institute.
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