Mathematical modelling of the COVID-19 pandemic with demographic effects

In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number ([Formula: see text] ) by solving the differential equations of the model and also using...

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Autores principales: Kamara, Abdul A., Mouanguissa, Lagès N., Barasa, Godfrey Okumu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7968565/
http://dx.doi.org/10.1186/s42787-021-00118-7
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author Kamara, Abdul A.
Mouanguissa, Lagès N.
Barasa, Godfrey Okumu
author_facet Kamara, Abdul A.
Mouanguissa, Lagès N.
Barasa, Godfrey Okumu
author_sort Kamara, Abdul A.
collection PubMed
description In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number ([Formula: see text] ) by solving the differential 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 [Formula: see text] or [Formula: see text] and [Formula: see text] or [Formula: see text] 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.
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spelling pubmed-79685652021-03-18 Mathematical modelling of the COVID-19 pandemic with demographic effects Kamara, Abdul A. Mouanguissa, Lagès N. Barasa, Godfrey Okumu J Egypt Math Soc Original Research In this paper, a latent infection susceptible–exposed–infectious–recovered model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number ([Formula: see text] ) by solving the differential 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 [Formula: see text] or [Formula: see text] and [Formula: see text] or [Formula: see text] 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. Springer Berlin Heidelberg 2021-03-17 2021 /pmc/articles/PMC7968565/ http://dx.doi.org/10.1186/s42787-021-00118-7 Text en © The Author(s) 2021 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Original Research
Kamara, Abdul A.
Mouanguissa, Lagès N.
Barasa, Godfrey Okumu
Mathematical modelling of the COVID-19 pandemic with demographic effects
title Mathematical modelling of the COVID-19 pandemic with demographic effects
title_full Mathematical modelling of the COVID-19 pandemic with demographic effects
title_fullStr Mathematical modelling of the COVID-19 pandemic with demographic effects
title_full_unstemmed Mathematical modelling of the COVID-19 pandemic with demographic effects
title_short Mathematical modelling of the COVID-19 pandemic with demographic effects
title_sort mathematical modelling of the covid-19 pandemic with demographic effects
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7968565/
http://dx.doi.org/10.1186/s42787-021-00118-7
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