GLOBAL STABILITY ANALYSIS OF A MATHEMATICAL MODEL ON THE TRANSMISSION DYNAMICS OF COVID-19 WITH VACCINATION

In this work, we investigate the Global Stability of a Mathematical model that describes the impact of vaccination on the dynamics of COVID-19 disease transmission in a human population. The model, represented by a system of ordinary differential equations explains how infection from an index case, which could potentially lead to endemic state, can be averted through effective vaccination. The global stability analysis shows that, the diseases free state is globally asymptotically stable, when the basic reproduction number, in the absence of disease associated death. This is supported by numerical simulation which suggests the combination of vaccination and non-pharmaceutical measures in the disease control. We also show numerically that the disease invades when and that there is a transcritical bifurcation at .