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Mathematical analysis and numerical simulation of the Ebola epidemic disease in the sense of conformable derivative

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  • Hammouch, Zakia
  • Rasul, Rando R.Q.
  • Ouakka, Abdellah
  • Elazzouzi, Abdelhai

Abstract

The aim of this paper is to construct and analyze a mathematical model for the response of T-cytotoxic lymphocytes to the Ebola virus using the Herz-tuckwill model with nonlinear Conformable order differential equations which derive from real biological data, then study the global stability of the equilibria using an appropriate Lyapunov function and the LaSalle invariance principle. Furthermore, we demonstrate the impact of the non-integer order of the model compared with the integral order. Finally consider a numerical simulation that justifies the biological hypotheses and the theory results. The numerical results provided that, the non-integer order has a great impact on the treatments of Ebola virus in this model.

Suggested Citation

  • Hammouch, Zakia & Rasul, Rando R.Q. & Ouakka, Abdellah & Elazzouzi, Abdelhai, 2022. "Mathematical analysis and numerical simulation of the Ebola epidemic disease in the sense of conformable derivative," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002168
    DOI: 10.1016/j.chaos.2022.112006
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    References listed on IDEAS

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    1. Boudaoui, Ahmed & El hadj Moussa, Yacine & Hammouch, Zakia & Ullah, Saif, 2021. "A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Singh, Jagdev & Kumar, Devendra & Hammouch, Zakia & Atangana, Abdon, 2018. "A fractional epidemiological model for computer viruses pertaining to a new fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 504-515.
    3. Atimad Harir & Said Malliani & Lalla Saadia Chandli, 2021. "Solutions of Conformable Fractional-Order SIR Epidemic Model," International Journal of Differential Equations, Hindawi, vol. 2021, pages 1-7, January.
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