In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number Rq and equilibrium for the model are determined and stabilities are examined. The global stability results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number Rq is compared with the basic reproduction number R0 for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy.

covid 19, mathematical model, stability, lyapunov function, contact tracing