Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects

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.

Subscribe to access this work and thousands more
Overall Rating

0

5 Star
(0)
4 Star
(0)
3 Star
(0)
2 Star
(0)
1 Star
(0)
APA

A.</div>, < (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

MLA 8th

A.</div>, <div>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 15 Jun. 2024.

MLA7

A.</div>, <div>Kamara . "Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects". Afribary, Afribary, 04 Jun. 2024. Web. 15 Jun. 2024. < https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects >.

Chicago

A.</div>, <div>Kamara . "Mathematical Modelling of the COVID-19 Pandemic with Demographic Effects" Afribary (2024). Accessed June 15, 2024. https://afribary.com/works/mathematical-modelling-of-the-covid-19-pandemic-with-demographic-effects