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Computational Study Of Fractional-Order Vector Borne Diseases Model

Author

Listed:
  • PALLAVI BEDI

    (Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India)

  • AZIZ KHAN

    (��Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

  • ANOOP KUMAR

    (Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151001, Punjab, India)

  • THABET ABDELJAWAD

    (��Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia‡Department of Medical Research, China Medical University, 40402 Taichung, Taiwan)

Abstract

In this paper, we solve a nonlinear fractional-order model for analyzing the dynamical behavior of vector-borne diseases within the frame of Caputo-fractional derivative. The proposed mathematical model advances the existing integer-order model on transmission and cure of vector-borne diseases. The existence and uniqueness of the solutions of the fractional-order model are proved using the Banach contraction principle. We investigate the local asymptomatic stability for the obtained disease-free equilibrium point and global stability for the proposed model in the sense of Ulam–Hyers stability criteria, respectively. Besides that, we obtain a numerical solution for the projected model using the Corrector-Predictor algorithm. Finally, to illustrate the obtained theoretical results, we perform numerical simulations for different values of fractional-order derivative and make a comparison with the results of the integer-order derivative.

Suggested Citation

  • Pallavi Bedi & Aziz Khan & Anoop Kumar & Thabet Abdeljawad, 2022. "Computational Study Of Fractional-Order Vector Borne Diseases Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-12, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401491
    DOI: 10.1142/S0218348X22401491
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    Cited by:

    1. Kaliraj, K. & Manjula, M. & Ravichandran, C., 2022. "New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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