Mathematical analysis of a MERS-Cov coronavirus model

• Autorzy: DarAssi Mahmoud H. , Shatnawi Taqi A. M. , Safi Mohammad A.

Identyfikatory

DOI

10.1515/dema-2022-0022

• Języki publikacji: EN

Abstrakty

EN

In this study, we have proposed a mathematical model to describe the dynamics of the spread of Middle East Respiratory Syndrome disease. The model consists of six-coupled ordinary differential equations. The existence of the corona-free equilibrium and endemic equilibrium points has been proved. The threshold condition for which the disease will die out or becomes permanent has been computed. That is the corona-free equilibrium point is locally asymptotically stable whenever the reproduction number is less than unity, and it is globally asymptotically stable (GAS) whenever the reproduction number is greater than unity. Moreover, we have proved that the endemic equilibrium point is GAS whenever the reproduction number is greater than unity. The results of the model analysis have been illustrated by numerical simulations.

Słowa kluczowe

EN

MERS-CoV; coronaviruses; reproduction number; equilibria; stability

PL

MERS-CoV; koronawirusy; współczynnik reprodukcji; równowaga; stabilność

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 265--276
• Opis fizyczny: Bibliogr. 45 poz., rys., wykr.

Twórcy

autor

DarAssi Mahmoud H.

• Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan

autor

Shatnawi Taqi A. M.

• Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan

autor

Safi Mohammad A.

• Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).