Global dynamics for a discrete quarantine/isolation model

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.

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Global Dynamics of a Discrete-Time MERS-Cov Model

DarAssi

Safi

Ahmad

2021

Mathematics

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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 R0≤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.

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Global dynamics for a discrete quarantine/isolation model

Cited by 4 publications

References 18 publications

A mathematical study of the omicron variant in a discrete-time Covid-19 model

A mathematical study of the omicron variant in a discrete-time Covid-19 model

Mathematical analysis of a MERS-Cov coronavirus model

Global Dynamics of a Discrete-Time MERS-Cov Model

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