Mathematical Modelling of COVID-19 Pandemic with Demographic Effects

Abstract In this paper, an asymptomatic infection transmission Susceptible-Exposed-Infectious-Recovered (SEIR) model with demographic effects is used to understand the dynamics of the COVID-19 pandemics. We calculate the basic reproduction number (R0), and prove the global stability of the model by solving the differential equations of the model using the disease-free equilibrium (DFE) and endemic equilibrium (EE) equations, respectively. We showed that when the R0 less than one or less than and equal to one, and greater than one or greater than and equal to one the DFE and EE asymptotic stability exist theoretically and numerically, respectively. We also demonstrate the detrimental impact of the direct and asymptomatic infections for the COVID-19 pandemic.