Analysis of COVID-19 epidemic model with sumudu transform

Muhammad Farman; Muhammad Azeem; M. O. Ahmad; Muhammad Farman; Muhammad Azeem; M. O. Ahmad

doi:10.3934/publichealth.2022022

AIMS Public Health

2022, Volume 9, Issue 2: 316-330. doi: 10.3934/publichealth.2022022

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Analysis of COVID-19 epidemic model with sumudu transform

Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

Received: 13 December 2021 Revised: 01 February 2022 Accepted: 07 February 2022 Published: 14 February 2022

In this paper, we develop a time-fractional order COVID-19 model with effects of disease during quarantine which consists of the system of fractional differential equations. Fractional order COVID-19 model is investigated with ABC technique using sumudu transform. Also, the deterministic mathematical model for the quarantine effect is investigated with different fractional parameters. The existence and uniqueness of the fractional-order model are derived using fixed point theory. The sumudu transform can keep the unity of the function, the parity of the function, and has many other properties that are more valuable. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease during quarantine on society.
- epidemic model,
- stability,
- unique solution,
- sumudu transform,
- fractional derivative
Citation: Muhammad Farman, Muhammad Azeem, M. O. Ahmad. Analysis of COVID-19 epidemic model with sumudu transform[J]. AIMS Public Health, 2022, 9(2): 316-330. doi: 10.3934/publichealth.2022022

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Abstract

In this paper, we develop a time-fractional order COVID-19 model with effects of disease during quarantine which consists of the system of fractional differential equations. Fractional order COVID-19 model is investigated with ABC technique using sumudu transform. Also, the deterministic mathematical model for the quarantine effect is investigated with different fractional parameters. The existence and uniqueness of the fractional-order model are derived using fixed point theory. The sumudu transform can keep the unity of the function, the parity of the function, and has many other properties that are more valuable. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease during quarantine on society.

Acknowledgments

We would like to thank you to reviewers for valuable suggestion and editor.

Conflict of interest

Authors have no conflict of interest.

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