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Abstract In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number R q $\mathcal{R}_{q}$ and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number R q $\mathcal{R}_{q}$ is compared with the basic reproduction number R 0 $\mathcal{R}_{0}$ for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy.