Before revision:  Furthermore, we gave a lower bound on the proportion of contacts to be traced to ensure that the effective reproduction, \mathcal{R , is below one and describe \mathcal{R in terms of observable quantities such as the proportion of reported and traced cases.
After revision:  Furthermore, we gave a lower bound on the proportion of contacts to be traced to ensure that the effective reproduction, \mathcal{R , is below one and describe \mathcal{R in terms of observable quantities such as the proportion of reported and traced cases.