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

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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\(4^+\)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.

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Authors and Affiliations

  1. Faculty of Computing, Riphah International University, Islamabad, Pakistan

    Musharif Ahmed, Muhammad Zubair & Saad Zafar

  2. Hamdard Institute of Engineering & Technology, Hamdard University, Islamabad, Pakistan

    Muhammad Aamer Saleem

  3. Department of Electrical Engineering, Air University, Islamabad, Pakistan

    Ijaz Mansoor Qureshi

Authors
  1. Musharif Ahmed
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  2. Muhammad Aamer Saleem
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  3. Muhammad Zubair
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  4. Ijaz Mansoor Qureshi
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  5. Saad Zafar
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Correspondence to Musharif Ahmed.

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Communicated by G.D. Veerappa Gowda.

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Ahmed, M., Saleem, M.A., Zubair, M. et al. Stability analysis and memetic computation using differential evolution for in-host HIV model. Indian J Pure Appl Math 53, 76–91 (2022). https://doi.org/10.1007/s13226-021-00022-x

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  • DOI: https://doi.org/10.1007/s13226-021-00022-x

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