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Journal of Applied Mathematics and Computing

Erschienen in:

22.03.2021 | Original Research

Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy

verfasst von: M. M. Hikal, M. M. A. Elsheikh, W. K. Zahra

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1/2022

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Abstract

This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model.

Vorheriger Artikel A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method

Nächster Artikel Exponential-sum-approximation technique for variable-order time-fractional diffusion equations

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Yuen, K.S., Ye, Z.W., Fung, S.Y., Chan, C.P., Jin, D.Y.: SARS-CoV-2 and COVID-19: The most important research questions. Cell Biosci. 10, 40 (2020). https://doi.org/10.1186/s13578-020-00404-4CrossRef

Guo, Y.R., Cao, Q.D., Hong, Z.S., Tan, Y.Y., Chen, S.D., Jin, H.J., Tan, K.S., Wang, D.Y., Yan, Y.: The origin, transmission and clinical therapies on coronavirus disease 2019 (COVID-19) outbreak—an update on the status. Milit. Med. Res. 7, 11 (2020). https://doi.org/10.1186/s40779-020-00240-0CrossRef

WHO Coronavirus Disease (COVID-19) Dashboard Data last updated: 2020/10/16, 4:11pm CEST. https://www.who.int/emergencies/diseases/novel-coronavirus-2019

WHO Coronavirus Disease (COVID-19), Weakly operational update 14 December 2020, who.int

Censolo, R., Morelli, M.: COVID-19 and the potential consequences for social stability. Peace Econ. Peace Sci. Pub. Pol. 26(3), 20200045 (2020)CrossRef

Dias, P.G.I., Rathnayaka, R.M.U.S.K.: Transmission, stability, symptoms, diagnosis and management of COVID 19. Asian J. Res. Infect. Dis. 4(1), 39–47 (2020)

Zhang, R., Li, Y., Zhang, A.L., Wang, Y., Molina, M.J.: Identifying airborne transmission as the dominant route for the spread of COVID-19. PNAS 117(26), 14857–14863 (2020)CrossRef

Harapan, H., Itoh, N., Yufika, A., Winardi, W., Keam, S., Te, H., Megawati, D., Hayati, Z., Wagner, A.L., Mudatsir, M.: Coronavirus disease 2019 (COVID-19): a literature review. J. Infect. Public Health 13(2020), 667–673 (2020)CrossRef

Di Gennaro, F., Pizzol, D., Marotta, C., Antunes, M., Racalbuto, V., Veronese, N., Smith, L.: Coronavirus diseases (COVID-19) current status and future perspectives: a narrative review. Int. J. Environ. Res. Public Health 17, 2690 (2020). https://doi.org/10.3390/ijerph17082690CrossRef

10.

Tahir, M., Ali Shah, I.S., Zaman, G., Khan, T.: Prevention strategies for mathematical model MERS-corona virus with stability analysis and optimal control. J. Nanosci. Nanotechnol. Appl. 3(1), 101 (2018)

11.

Mohsen, A.A., AL-Husseiny, H.F., Zhou, X., Hattaf, K.: Global stability of COVID-19 model involving the quarantine strategy and media coverage effects. AIMS Public Health 7(3), 587–605 (2020). https://doi.org/10.3934/publichealth.2020047CrossRef

12.

Victor, A.O.: Mathematical predictions for COVID-19 as a global pandemic. Electron. J. (2020). https://doi.org/10.2139/ssrn.3555879CrossRef

13.

World Health Organization COVID 19 Infection. Available online: https://www.who.int/emergencies/diseases

14.

Saeedian, M., Khalighi, M., Azimi-Tafreshi, N., Jafari, G.R., Ausloos, M.: Memory effects on epidemic evolution: the susceptible-infected-recovered epidemic model. Phys. Rev. 95, 022409 (2017)MathSciNet

15.

Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York (1993)MATH

16.

Podlubny, I.: Fractional Differential Equations. Technical University of Kosice, Slovak Republic (1999)MATH

17.

Mehdi, D., Majid, B.: Application of fractions calculus. Appl. Math. Sci. 4, 1021–1032 (2010)MathSciNetMATH

18.

Matignon, D.: stability results for fractional differential equations with applications to control processing. Computat. Eng. Syst. Appl. 2, 963 (1996)

19.

Ahmed, E., El-Sayed, A.M.A., El-Saka, H.A.A.: On some Routh–Hurwitz conditions for fractional order differential equations and their Applications in Lorenz, Rossler, Chua and Chen systems. Phys. Lett. 358, 1–4 (2006)MathSciNetCrossRef

20.

El-Sayed, A.M.A., Elsonbaty, A.A., Elsadany, A.E.: Matouk: dynamical analysis and circuit simulation of a new fractional-order hyperchaotic system and its discretization. Int. J. Bifurcat. Chaos 26, 1–35 (2016)CrossRef

21.

Diekmann, O., Heesterbeek, J.A.P., Roberts, M.G.: The construction of next-generation matrices for compartmental epidemic models. J. R. Soc. Interface (2009). https://doi.org/10.1098/rsif.2009.0386CrossRef

22.

Hikal, M.M.: Dynamic properties for A general SEIV epidemic model. Electron. J. Math. Anal. Appl. 2, 26–36 (2014)MathSciNetMATH

23.

Hikal, M.M., Zahra, W.K.: On fractional model of an HIV/AIDS with treatment and time delay. Progr. Fract. Differ. Appl. 2, 55–66 (2016)CrossRef

24.

Driessche, V.D., Watmough, P.J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180, 24–48 (2002)MathSciNetMATH

25.

Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V.: Discriminants, resultant, and multidimensional determinants. Birkhauser, Boston. ISBN 978-0-8176-3660-9 (1994)

26.

Butcher, J.C.: Numerical Methods for Ordinary Differential Equations, 2nd edn, pp.137–316 (2008). https://doi.org/10.1002/9780470753767.ch3

27.

Zahra, W.K., Hikal, M.M., Taher, A.B.: Stability analysis of an HIV/AIDS epidemic fractional order model with screening and time delay. AASCIT Commun. 2, 41–49 (2015)

Titel: Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
verfasst von: M. M. Hikal
M. M. A. Elsheikh
W. K. Zahra
Publikationsdatum: 22.03.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01515-y

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