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A Fractal Fractional Model For Cervical Cancer Due To Human Papillomavirus Infection

Author

Listed:
  • A. AKGÃœL

    (Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey)

  • N. AHMED

    (��Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan)

  • A. RAZA

    (��Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan)

  • Z. IQBAL

    (��Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan)

  • M. RAFIQ

    (�Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan)

  • M. A. REHMAN

    (��Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan)

  • D. BALEANU

    (�Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey∥Institute of Space Sciences, R76900 Magurele-Bucharest, Romania**Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we have investigated women’s malignant disease, cervical cancer, by constructing the compartmental model. An extended fractal–fractional model is used to study the disease dynamics. The points of equilibria are computed analytically and verified by numerical simulations. The key role of R0 in describing the stability of the model is presented. The sensitivity analysis of R0 for deciding the role of certain parameters altering the disease dynamics is carried out. The numerical simulations of the proposed numerical technique are demonstrated to test the claimed facts.

Suggested Citation

  • A. Akgãœl & N. Ahmed & A. Raza & Z. Iqbal & M. Rafiq & M. A. Rehman & D. Baleanu, 2021. "A Fractal Fractional Model For Cervical Cancer Due To Human Papillomavirus Infection," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-11, August.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400156
    DOI: 10.1142/S0218348X21400156
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    Cited by:

    1. Xuan, Liu & Ahmad, Shabir & Ullah, Aman & Saifullah, Sayed & Akgül, Ali & Qu, Haidong, 2022. "Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Khan, Hasib & Ahmad, Farooq & Tunç, Osman & Idrees, Muhammad, 2022. "On fractal-fractional Covid-19 mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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