Modeling two-strain COVID-19 infection dynamics with vaccination strategy

In this paper, we will study five differential equations describing two-strain COVID-19 infection dynamics with vaccination strategy. The variables of our model will represent the susceptible, the two strain infected sub-populations and the vaccinated individuals. First, we will study the well-posedness of our model. Next, we will give the different equilibria of our model. After that, we will study the global stability of each equilibrium. Finally, we will give different numerical simulations in order to illustrate the convergence of the solutions toward the equilibria. In addition, the comparison between the numerical tests and COVID-19 clinical data is conducted.