Analysis of COVID-19 Epidemic Model with Sumudu Transform

Overview

Journal AIMS Public Health

Specialty Public Health

Date 2022 May 31

PMID 35634031

Authors

Muhammad Farman

Muhammad Azeem

M O Ahmad

Affiliations

Soon will be listed here.

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.

References

Varotsos C, Christodoulakis J, Kouremadas G, Fotaki E . The Signature of the Coronavirus Lockdown in Air Pollution in Greece. Water Air Soil Pollut. 2021; 232(3):119. PMC: 7942215. DOI: 10.1007/s11270-021-05055-w. View

Munoz-Fernandez G, Seoane J, Seoane-Sepulveda J . A SIR-type model describing the successive waves of COVID-19. Chaos Solitons Fractals. 2021; 144:110682. PMC: 7836270. DOI: 10.1016/j.chaos.2021.110682. View

Farman M, Aslam M, Akgul A, Ahmad A . Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing. Math Methods Appl Sci. 2021; 44(11):9334-9350. PMC: 8251478. DOI: 10.1002/mma.7360. View

Varotsos C, Krapivin V, Xue Y . Diagnostic model for the society safety under COVID-19 pandemic conditions. Saf Sci. 2021; 136:105164. PMC: 7972928. DOI: 10.1016/j.ssci.2021.105164. View

Xu C, Yu Y, Chen Y, Lu Z . Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model. Nonlinear Dyn. 2020; 101(3):1621-1634. PMC: 7487266. DOI: 10.1007/s11071-020-05946-3. View

Zeb A, Alzahrani E, Erturk V, Zaman G . Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class. Biomed Res Int. 2020; 2020:3452402. PMC: 7327565. DOI: 10.1155/2020/3452402. View

Biala T, Khaliq A . A fractional-order compartmental model for the spread of the COVID-19 pandemic. Commun Nonlinear Sci Numer Simul. 2021; 98:105764. PMC: 7959886. DOI: 10.1016/j.cnsns.2021.105764. View

Varotsos C, Krapivin V, Xue Y, Soldatov V, Voronova T . COVID-19 pandemic decision support system for a population defense strategy and vaccination effectiveness. Saf Sci. 2021; 142:105370. PMC: 8179249. DOI: 10.1016/j.ssci.2021.105370. View

Shaikh A, Shaikh I, Nisar K . A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control. Adv Differ Equ. 2020; 2020(1):373. PMC: 7374076. DOI: 10.1186/s13662-020-02834-3. View

10.

Hui D, Azhar E, Madani T, Ntoumi F, Kock R, Dar O . The continuing 2019-nCoV epidemic threat of novel coronaviruses to global health - The latest 2019 novel coronavirus outbreak in Wuhan, China. Int J Infect Dis. 2020; 91:264-266. PMC: 7128332. DOI: 10.1016/j.ijid.2020.01.009. View

11.

Shang A, Galow K, Galow G . Regional forecasting of COVID-19 caseload by non-parametric regression: a VAR epidemiological model. AIMS Public Health. 2021; 8(1):124-136. PMC: 7870378. DOI: 10.3934/publichealth.2021010. View

12.

Varotsos C, Krapivin V . A new model for the spread of COVID-19 and the improvement of safety. Saf Sci. 2020; 132:104962. PMC: 7434390. DOI: 10.1016/j.ssci.2020.104962. View

13.

Eubank S, Eckstrand I, Lewis B, Venkatramanan S, Marathe M, Barrett C . Commentary on Ferguson, et al., "Impact of Non-pharmaceutical Interventions (NPIs) to Reduce COVID-19 Mortality and Healthcare Demand". Bull Math Biol. 2020; 82(4):52. PMC: 7140590. DOI: 10.1007/s11538-020-00726-x. View