keywords: Coronavirus, epidemic, lyapunov function, global stability, mathematical model, SEIR
In this work, a mathematical modelling of coronavirus epidemic using Lyapunov function is analyzed. The basic Kermack-McKendric- type of mathematical model is used to divide the total human population into four compartments, SEIR model. The basic reproduction number R_0 is computed using Lyapunov functions; likewise the global stability was also established. The numerical solution showed that R_0<1 (i.e.R_0=-0.0019) indicating that there is 99.99% chances of re-infection when infected individuals and exposed individuals interact with the susceptible individuals through contact. The numerical simulation indicate that, the rate of infection will continue to increase, but will be superseded by the rate of recovery after 21 days.