Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects

dc.contributor.author	Kamara, Abdul A.
dc.contributor.author	Mouanguissa, Lagès N.
dc.contributor.author	Barasa, Godfrey Okumu
dc.date.accessioned	2021-04-14T07:43:06Z
dc.date.available	2021-04-14T07:43:06Z
dc.date.issued	2021-03-17
dc.identifier.uri	http://ir.jooust.ac.ke:8080/xmlui/handle/123456789/9456
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Mathematical modelling	en_US
dc.subject	COVID-19	en_US
dc.subject	Demographic efects	en_US
dc.subject	Asymptotic stability	en_US
dc.title	Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects	en_US
dc.type	Article	en_US