Global Dynamics of a Discrete-Time MERS-Cov Model

Mahmoud H. DarAssi, Mohammad A. Safi and Morad Ahmad
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Mahmoud H. DarAssi: Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan
Mohammad A. Safi: Department of Mathematics, The Hashemite University, Zarqa 13133, Jordan
Morad Ahmad: Department of Mathematics, University of Jordan, Amman 11942, Jordan

Mathematics, 2021, vol. 9, issue 5, 1-14

Abstract: In this paper, we have investigated the global dynamics of a discrete-time middle east respiratory syndrome (MERS-Cov) model. The proposed discrete model was analyzed and the threshold conditions for the global attractivity of the disease-free equilibrium (DFE) and the endemic equilibrium are established. We proved that the DFE is globally asymptotically stable when R 0 ? 1 . Whenever R ˜ 0 > 1 , the proposed model has a unique endemic equilibrium that is globally asymptotically stable. The theoretical results are illustrated by a numerical simulation.

Keywords: discrete-time model; coronaviruses; MERS; backward difference; equilibria; global stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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