Fig 8. Effective reproduction number for heterogeneous uptake of testing and treatment.

${\tau }_l^{*}$ denotes the uptake by risk group l. We considered progressively higher uptake rates by groups with higher numbers of partners. Specifically, we assumed that ${\tau }_1^{*}=10\%$ (lowest risk group), ${\tau }_6^{*}=90\%$ (highest risk group), and uptakes by the remaining 4 groups were equally spaced and increasing from 26% to 74%. The dashed line is R₀ before ART. Also shown is R_e for a constant treatment uptake rate of 23.25% computed as an average of uptakes by different groups weighted by their population size, ${\sum }_{l=1}^6{q}_l{\tau }_l^{*}$. Heterogeneous test-and-treat with increasing treatment uptakes by higher risk groups has a larger impact on R_e than homogeneous test-and-treat with a constant average uptake. See also S7 Fig with results for other combinations of treatment uptakes by different risk groups.