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Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects

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Publication Date
2021-03-17
Author
Kamara, Abdul A.
Mouanguissa, Lagès N.
Barasa, Godfrey Okumu
Type
Article
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Abstract/Overview

In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic efects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (R0) by solving the diferential equations of the model and also using next-generation matrix method. We also prove the global stability of the model using the Lyapunov method. We showed that when the R0 < 1 or R0 ≤ 1 and R0 > 1 or R0 ≥ 1 the disease-free and endemic equilibria asymptotic stability exist theoretically. We provide numerical simulations to demonstrate the detrimental impact of the direct and latent infections for the COVID-19 pandemic.

Subject/Keywords
Mathematical modelling; COVID-19; Demographic efects; Asymptotic stability
Publisher
Springer Nature
Permalink
http://ir.jooust.ac.ke:8080/xmlui/handle/123456789/9456
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