Fig. 5. Effects of manual and digital contact tracing on the epidemic active phase.

We plot the temporal evolution of the fraction of infected nodes $\mathrm{Inf}\left(t\right)$, i.e., infected asymptomatic and infected symptomatic, and of the fraction of removed nodes R(t), for both manual and digital CT. In the inset we plot the temporal evolution of the fraction of isolated nodes Iso(t) (right y-axis) and of the average activity of the population 〈a(t)〉 (left y-axis), normalized with $\overline{a_{\mathrm{S}}}$. All curves are averaged on several realizations of the disorder and of the temporal evolution. We set $\overline{ϵ}=f^2=0.1$, τ_C = 3 days, $r/r_{\mathrm{C}}^{\mathrm{NA}}=3.1$ and N = 5 × 10³. The distribution ρ(a_S, b_S) is given by Eq. (1), with ν = 1.5. The curves for digital and manual CT are averaged respectively over 554 and 681 realizations and the errors, evaluated through the standard deviation, are smaller or comparable with the curves thickness.