Figure 2.

Percentage of the population that needs to be enrolled ($f_e^{\min }$) for automated contact tracing to be successful. Starting from the left, the solid and dashed lines represent $f_c=100\text{\%},80\text{\%}$, respectively, for the first panel, $p_t=35\text{\%},15\text{\%}$ for the second panel, $r_c=75\text{\%},95\text{\%}$ for the third panel and $f_T=50\text{\%},90\text{\%}$ for the fourth panel. For the left two panels, the fraction of truly infected individuals that will be confirmed as infected by testing, r_c is varied between 75% and 95%. For the right two panels, the fraction of people who will confirm they have been tested as infected if they are enrolled, f_c is varied between 70% and 90%. Three cases for the minimum fraction of the individuals at risk that need to be traced are considered with $f_T=50\text{\%},70\text{\%},90\text{\%}$ in orange, green and red, respectively, in the left two panels and similarly, three cases are considered for $p_t=15\text{\%},25\text{\%},35\text{\%}$ in the right two panels. The blue dotted line in the third panel from the left gives the threshold variation of $f_e^{\min }$ with f_T when all other parameters are set to 1. The y-axes are identical for all panels. See text for more details.