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.
A., K (2024). Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects. Afribary. Retrieved from https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects
A., Kamara "Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects" Afribary. Afribary, 04 Jun. 2024, https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects. Accessed 22 Dec. 2024.
A., Kamara . "Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects". Afribary, Afribary, 04 Jun. 2024. Web. 22 Dec. 2024. < https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects >.
A., Kamara . "Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects" Afribary (2024). Accessed December 22, 2024. https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects