Research Article

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Volume: 5 Number: 1 March 31, 2023
EN

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

An Erratum to this article was published on November 30, 2023. https://dergipark.org.tr/en/pub/chaos/article/1392836

Abstract

Short memory and long memory terms are excellently explained using the concept of piecewise fractional order derivatives. In this research work, we investigate dynamical systems addressing COVID-19 under piecewise equations with fractional order derivative (FOD). Here, we study the sensitivity of the proposed model by using some tools from the nonlinear analysis. Additionally, we develop a numerical scheme to simulate the model against various fractional orders by using Matlab 2016. All the results are presented graphically.

Keywords

References

  1. Abdo, M. S., K. Shah, H. A.Wahash, and S. K. Panchal, 2020 On a comprehensive model of the novel coronavirus (covid-19) under mittag-leffler derivative. Chaos, Solitons & Fractals 135: 109867.
  2. Agarwal, R. P., V. Lakshmikantham, and J. J. Nieto, 2010 On the concept of solution for fractional differential equations with uncertainty. Nonlinear Analysis: Theory, Methods & Applications 72: 2859–2862.
  3. Ahmad, S., A. Ullah, and A. Akgül, 2021a Investigating the complex behaviour of multi-scroll chaotic system with caputo fractalfractional operator. Chaos, Solitons & Fractals 146: 110900.
  4. Ahmad, S., A. Ullah, A. Akgül, and M. De la Sen, 2021b A study of fractional order ambartsumian equation involving exponential decay kernel. AIMS Math 6: 9981–9997.
  5. Ahmad, S., A. Ullah, M. Partohaghighi, S. Saifullah, A. Akgül, et al., 2021c Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model. Aims Math 7: 4778–4792.
  6. Alqahtani, R. T., S. Ahmad, and A. Akgül, 2021 Dynamical analysis of bio-ethanol production model under generalized nonlocal operator in caputo sense. Mathematics 9: 2370.
  7. Arfan, M., H. Alrabaiah, M. U. Rahman, Y.-L. Sun, A. S. Hashim, et al., 2021 Investigation of fractal-fractional order model of covid-19 in pakistan under atangana-baleanu caputo (abc) derivative. Results in Physics 24: 104046.
  8. Atangana, A., 2020 Extension of rate of change concept: from local to nonlocal operators with applications. Results in Physics 19: 103515.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

March 31, 2023

Submission Date

November 26, 2022

Acceptance Date

February 22, 2023

Published in Issue

Year 2023 Volume: 5 Number: 1

APA
Sinan, M., Shah, K., Abdeljawad, T., & Akgul, A. (2023). Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative. Chaos Theory and Applications, 5(1), 27-33. https://doi.org/10.51537/chaos.1210461
AMA
1.Sinan M, Shah K, Abdeljawad T, Akgul A. Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative. CHTA. 2023;5(1):27-33. doi:10.51537/chaos.1210461
Chicago
Sinan, Muhammad, Kamal Shah, Thabet Abdeljawad, and Ali Akgul. 2023. “Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative”. Chaos Theory and Applications 5 (1): 27-33. https://doi.org/10.51537/chaos.1210461.
EndNote
Sinan M, Shah K, Abdeljawad T, Akgul A (March 1, 2023) Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative. Chaos Theory and Applications 5 1 27–33.
IEEE
[1]M. Sinan, K. Shah, T. Abdeljawad, and A. Akgul, “Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative”, CHTA, vol. 5, no. 1, pp. 27–33, Mar. 2023, doi: 10.51537/chaos.1210461.
ISNAD
Sinan, Muhammad - Shah, Kamal - Abdeljawad, Thabet - Akgul, Ali. “Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative”. Chaos Theory and Applications 5/1 (March 1, 2023): 27-33. https://doi.org/10.51537/chaos.1210461.
JAMA
1.Sinan M, Shah K, Abdeljawad T, Akgul A. Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative. CHTA. 2023;5:27–33.
MLA
Sinan, Muhammad, et al. “Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative”. Chaos Theory and Applications, vol. 5, no. 1, Mar. 2023, pp. 27-33, doi:10.51537/chaos.1210461.
Vancouver
1.Muhammad Sinan, Kamal Shah, Thabet Abdeljawad, Ali Akgul. Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative. CHTA. 2023 Mar. 1;5(1):27-33. doi:10.51537/chaos.1210461

Cited By

Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science 23830 28903   

The published articles in CHTA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License Cc_by-nc_icon.svg