A Caputo-Type Fractional-Order SQIRV Mathematical Model for Omicron Variant

Authors

  • S. Dickson Department of Mathematics, Periyar University, Salem, 636011, Tamil Nadu, India
  • S. Padmasekaran Department of Mathematics, Periyar University, Salem, 636011, Tamil Nadu, India
  • Pushpendra Kumar Institute for the Future of Knowledge, University of Johannesburg, PO Box 524, Auckland Park 2006, South Africa https://orcid.org/0000-0002-7755-2837

DOI:

https://doi.org/10.37256/cm.4420232373

Keywords:

Omicron, steady-states, reproduction number, stability, Caputo fractional derivative

Abstract

In this study, we propose a fractional-order epidemic model of the Omicron variant. We provide analyses of the solutionʼs positivity, boundedness, existence, and uniqueness. The steady-state solution of the proposed model is asymptotically stable and depends on the reproduction number, R0, which is used to determine whether the disease continues to spread. Numerical simulations are investigated using various orders of the fractional derivative.

References

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Published

2023-09-25

Issue

Contemporary Mathematics, Volume 4 Issue 4 (2023), 620-1346

Section

Research Article

License

Copyright (c) 2023 Pushpendra Kumar, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
A Caputo-Type Fractional-Order SQIRV Mathematical Model for Omicron Variant. Contemp. Math. [Internet]. 2023 Sep. 25 [cited 2025 Dec. 24];4(4):620-36. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2373