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Analysis of fractional COVID-19 epidemic model under Caputo operator
  • +2
  • Rahat Zarin,
  • Amir Khan,
  • Abdullahi Yusuf,
  • Mustafa Inc,
  • Siraj ul-Islam
Rahat Zarin
University of Engineering & Technology Department of Chemical Engineering Peshawar Campus
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Amir Khan
Khyber Pakhtunkhwa Judicial Academy
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Abdullahi Yusuf
Biruni University
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Mustafa Inc
Firat University
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Siraj ul-Islam
University of Engineering and Technology
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Abstract

The dynamic of fractional covid-19 epidemic model with a convex incidence rate is studied in this article. Under Caputo operator, existence and uniqueness for the solutions of the fractional covid-19 epidemic model have been ana- lyzed using xed point theorems. We study all the basic properties and results including local and global stability. We show the global stability of disease free equilibrium using the method of Lyapunov function theory while for disease endemic, we use the method of geometrical approach. Moreover, sensitivity analysis complemented by simulations are performed to determine how changes in parameters affect the dynamical behavior of the system.

Peer review status:Published

31 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
09 Sep 2020Submission Checks Completed
09 Sep 2020Assigned to Editor
17 Sep 2020Reviewer(s) Assigned
17 Dec 2020Review(s) Completed, Editorial Evaluation Pending
17 Dec 2020Editorial Decision: Revise Major
02 Jan 20211st Revision Received
02 Jan 2021Submission Checks Completed
02 Jan 2021Assigned to Editor
02 Jan 2021Reviewer(s) Assigned
02 Jan 2021Review(s) Completed, Editorial Evaluation Pending
03 Jan 2021Editorial Decision: Revise Minor
09 Jan 20212nd Revision Received
09 Jan 2021Submission Checks Completed
09 Jan 2021Assigned to Editor
09 Jan 2021Editorial Decision: Accept
25 Mar 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7294