Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2021 Apr:23:104018.
doi: 10.1016/j.rinp.2021.104018. Epub 2021 Mar 12.

Fractional stochastic models for COVID-19: Case study of Egypt

Affiliations

Fractional stochastic models for COVID-19: Case study of Egypt

Othman A M Omar et al. Results Phys. 2021 Apr.

Abstract

In this paper, COVID-19 dynamics are modelled with three mathematical dynamic models, fractional order modified SEIRF model, stochastic modified SEIRF model, and fractional stochastic modified SEIRF model, to characterize and predict virus behavior. By using Euler method and Euler-Murayama method, the numerical solutions for the considered models are obtained. The considered models are applied to the case study of Egypt to forecast COVID-19 behavior for the second virus wave which is assumed to be started on 15 November 2020. Finally, comparisons between actual and predicted daily infections are presented.

Keywords: COVID-19; Euler-Murayama method; Fractional dynamic models; Stochastic dynamic models.

PubMed Disclaimer

Conflict of interest statement

Authors declare that they have no conflict of interests.

Figures

Fig. 1
Fig. 1
Daily Susceptible individuals for Egypt using different dynamic models.
Fig. 2
Fig. 2
Daily Exposed individuals for Egypt using different dynamic models.
Fig. 3
Fig. 3
Daily Infected individuals for Egypt using different dynamic models.
Fig. 4
Fig. 4
Daily Recovered individuals for Egypt using different dynamic models.
Fig. 5
Fig. 5
Daily Deaths individuals for Egypt using different dynamic models.

References

    1. Goyal M., Baskonus H.M., Prakash A. An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women. Eur Phys J Plus. 2019;134:1–10. doi: 10.1140/epjp/i2019-12854-0. - DOI
    1. Gao W., Veeresha P., Prakasha D.G., Baskonus H.M., Yel G. New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function. Chaos, Solit. Fractals. 2020;134(109696) doi: 10.1016/j.chaos.2020.109696. - DOI
    1. Kumar D., Singh J., Al-Qurashi M., Baleanu D. A new fractional SIRS-SI malaria disease model with application of vaccines, anti-malarial drugs, and spraying. Adv Diff Eq. 2019;278:1–10. doi: 10.1186/s13662-019-2199-9. - DOI
    1. Shah K., Alqudah M.A., Jarad F., Abdeljawad T. Semi-analytical study of Pine Wilt disease model with convex rate under Caputo-Fabrizio fractional order derivative. Chaos, Solit. Fractals. 2020;135(109754) doi: 10.1016/j.chaos.2020.109754. - DOI
    1. Chinazzi1 M, Davis JT, Ajelli M, Gioannini C, et al. The effect of travel restrictions on the spread of the 2019 novel coronavirus (2019-ncov) outbreak. Science 2020; 368(6489):395–400. DOI: 10.1126/science.aba9757. - PMC - PubMed

LinkOut - more resources