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Computational solutions of the HIV-1 infection of CD4+T-cells fractional mathematical model that causes acquired immunodeficiency syndrome (AIDS) with the effect of antiviral drug therapy

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  • Abdel-Aty, Abdel-Haleem
  • Khater, Mostafa M.A.
  • Dutta, Hemen
  • Bouslimi, Jamel
  • Omri, M.

Abstract

This paper investigates the exact traveling wave solutions of the fractional model of the human immunodeficiency virus (HIV-1) infection for CD4+T-cells. This model also treats with the effect of antiviral drug therapy. These solutions calculate both the boundary and initial conditions that allow employing the septic-B-spline scheme which is one of the most recent schemes in the numerical field. We use the obtained computational solutions via the modified Khater, the extended simplest equation, and sech–tanh methods through Atangana-Baleanu derivative operator. The comparison between the exact and numerical evaluated solutions is illustrated by some distinct sketches. The functioning of our numerical method is tested under three computational obtained solutions.

Suggested Citation

  • Abdel-Aty, Abdel-Haleem & Khater, Mostafa M.A. & Dutta, Hemen & Bouslimi, Jamel & Omri, M., 2020. "Computational solutions of the HIV-1 infection of CD4+T-cells fractional mathematical model that causes acquired immunodeficiency syndrome (AIDS) with the effect of antiviral drug therapy," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304896
    DOI: 10.1016/j.chaos.2020.110092
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    References listed on IDEAS

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    1. Sylvie Diane Djiomba Njankou & Farai Nyabadza, 2017. "Modelling the Potential Role of Media Campaigns in Ebola Transmission Dynamics," International Journal of Differential Equations, Hindawi, vol. 2017, pages 1-13, January.
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    Cited by:

    1. Mostafa M. A. Khater & Aliaa Mahfooz Alabdali, 2021. "Multiple Novels and Accurate Traveling Wave and Numerical Solutions of the (2+1) Dimensional Fisher-Kolmogorov- Petrovskii-Piskunov Equation," Mathematics, MDPI, vol. 9(12), pages 1-13, June.
    2. Abdullah, & Ahmad, Saeed & Owyed, Saud & Abdel-Aty, Abdel-Haleem & Mahmoud, Emad E. & Shah, Kamal & Alrabaiah, Hussam, 2021. "Mathematical analysis of COVID-19 via new mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Kumar, Manoj & Abbas, Syed, 2022. "Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 237-252.
    4. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Martinez, V.M. & Barbosa, A.N. & Mancera, P.F.A. & Rodrigues, D.S. & Camargo, R.F., 2021. "A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Trikha, Pushali & Mahmoud, Emad E. & Jahanzaib, Lone Seth & Matoog, R.T. & Abdel-Aty, Mahmoud, 2021. "Fractional order biological snap oscillator: Analysis and control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    7. Yüzbaşı, Şuayip & Izadi, Mohammad, 2022. "Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment," Applied Mathematics and Computation, Elsevier, vol. 431(C).

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