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

Ebrahem A. Algehyne | Zendy; Rahim Ud Din | Zendy

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

Author(s) -

Ebrahem A. Algehyne,

Rahim Ud Din

Publication year - 2020

Publication title -

alexandria engineering journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.584

H-Index - 58

eISSN - 2090-2670

pISSN - 1110-0168

DOI - 10.1016/j.aej.2020.08.040

Subject(s) - basic reproduction number , epidemic model , mathematics , stability (learning theory) , lyapunov function , population , incidence (geometry) , covid-19 , type (biology) , quarantine , matrix (chemical analysis) , differential equation , control theory (sociology) , nonlinear system , mathematical analysis , computer science , biology , disease , demography , physics , geometry , ecology , control (management) , materials science , medicine , artificial intelligence , pathology , sociology , composite material , infectious disease (medical specialty) , quantum mechanics , machine learning

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.

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