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.