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Global Dynamics of a Discrete-Time MERS-Cov Model

Author

Listed:
  • Mahmoud H. DarAssi

    (Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan
    These authors contributed equally to this work.)

  • Mohammad A. Safi

    (Department of Mathematics, The Hashemite University, Zarqa 13133, Jordan
    These authors contributed equally to this work.)

  • Morad Ahmad

    (Department of Mathematics, University of Jordan, Amman 11942, Jordan
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Mahmoud H. DarAssi & Mohammad A. Safi & Morad Ahmad, 2021. "Global Dynamics of a Discrete-Time MERS-Cov Model," Mathematics, MDPI, vol. 9(5), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:563-:d:511741
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    References listed on IDEAS

    as
    1. Glenn Ellison, 2020. "Implications of Heterogeneous SIR Models for Analyses of COVID-19," NBER Working Papers 27373, National Bureau of Economic Research, Inc.
    2. Ying Wang & Zhidong Teng & Mehbuba Rehim, 2014. "Lyapunov Functions for a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate and Varying Population Sizes," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-10, July.
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