MODELING AND ANALYSIS OF THE DYNAMICS OF COVID-19 TRANSMISSION IN PRESENCE OF IMMIGRATION AND VACCINATION

Abstract

This paper aims to propose and study the dynamics of COVID-19 transmission model with immigration, vaccination and general incidence function. The global existence, positivity and boundedness of solutions are proved. Also, the sensitivity analysis is used to discover parameters that have impact on the threshold value of the basic reproduction number R0 . Furthermore, we construct appropriate Lyapunov functions to prove the global stability of equilibria.