On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate

https://doi.org/10.1016/j.aej.2020.08.040Get rights and content
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Abstract

This paper investigates a new mathematical SQIR model for COVID-19 by means of four dimensions; susceptible, quarantine, infected and recovered (SQIR) via Non-linear Saturated Incidence Rate. First of all the model is formulated in the form of differential equations. Disease-free, endemic equilibriums and Basic Reproduction Number are found for the said model. Local Stability is analyzed through Jacobean Matrix while Lyapunov Function is constructed for the study of Global Stability of the Model. Using nonstandard finite difference method, numerical results are simulated. By Simulation, we mean how protection, exposure, death and cure rates affect the Susceptible, Quarantined, Infected and recovered population with the passage of time.

Keywords

SQIR model
Novel coronavirus −19
Local stability
Global stability
Nonstandard finite difference scheme
Basic reproduction number

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Peer review under responsibility of Faculty of Engineering, Alexandria University.