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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Detalles Bibliográficos
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
Descripción
Sumario: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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