Iranian Journal of Biomedical Engineering (IJBME)
نشریه علمی مهندسی پزشکی زیستی

Proposal and Analysis of Fractional Order Mathematical Model to Describe the Transmission of Covid-19 Disease

Document Type : Full Research Paper

Authors

Arman Marzban 1
Elham Amini Boroujeni 2

1 M.Sc. Student, Department of Electrical and Computer Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

2 Assistant Professor, Department of Electrical and Computer Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

https://doi.org/10.22041/ijbme.2023.1996296.1832
Abstract
Considering that mathematical modeling is helpful in describing and analyzing the behavior of epidemic diseases. On the other hand, the accuracy and degree of freedom in modeling fractional order systems are more than that of integer order systems due to the presence of long-term memory property. This paper extends the existing integer order model of Covid-19 disease to fractional order systems using fractional order calculations. The proposed model’s positivity and bounded answers are proved using the invariant region theorem. Using the fixed point theory in Banach space, the existence and uniqueness of the solution of the proposed fractional order model are proved. The behavior of both integer and fractional order has been simulated and evaluated using real information published for Covid-19 in Thailand. The higher efficiency and accuracy of the proposed model of fractional order are confirmed in the simulation results.

Keywords

Covid-19
Fractional Order Calculus
Mathematical Modeling
Existence and Uniqueness of the Answer
Subjects
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Iranian Journal of Biomedical Engineering (IJBME)
Volume 16, Issue 4
Winter 2023
Pages 321-333

  • Receive Date 15 March 2023
  • Revise Date 04 June 2023
  • Accept Date 19 June 2023

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