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ABC Fractional Derivative for Varicella‐Zoster Virus Using Two‐Scale Fractal Dimension Approach with Vaccination

Author

Listed:
  • Jirong Yang
  • Farkhanda Afzal
  • Perpetual Appiah

Abstract

Chickenpox or varicella is an infectious disease caused by the varicella‐zoster virus VZV. This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of VZ transmission with the effect of vaccination is solved using the ABC fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two‐scale dimension and fractional calculus in the current model.

Suggested Citation

  • Jirong Yang & Farkhanda Afzal & Perpetual Appiah, 2022. "ABC Fractional Derivative for Varicella‐Zoster Virus Using Two‐Scale Fractal Dimension Approach with Vaccination," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1725110
    DOI: 10.1155/2022/1725110
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    References listed on IDEAS

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    4. Anwarud Din & Yongjin Li & Faiz Muhammad Khan & Zia Ullah Khan & Peijiang Liu, 2022. "On Analysis Of Fractional Order Mathematical Model Of Hepatitis B Using Atangana–Baleanu Caputo (Abc) Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-18, February.
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