Table 1. Parameters used to describe TB natural history and epidemiology in a Brazilian state.

Variable	Definition	Prisoner	Ex-prisoner	Community	Source
β	effective contact rate	17.0 (10–30)	8.08 (4–12)	8.08 (4–12)	Calculated
μ	birth/death rate	0.017	0.017	0.017	[25]
τ	rate of progression from early latent to infectious	0.09 (0.005–0.1)	0.03 (0.005–0.1)	0.01 (0.005–0.1)	Calibration
v	rate of progression from late latent to infectious	.0008	.0008	.0008	[26]
w	rate of progression from early latent to late latent	0.2	0.2	0.2	[27]
α1	susceptibility to reinfection upon reexposure	0.21	0.21	0.21	[28]
α2	rate of reinfection from recovered to early latent	0.21	0.21	0.21	[28]
γ	rate of relapse from recovered to infectious	0.01	0.01	0.01	[29]
d	rate of diagnosis and treatment initiation	0.55 (0.5–1.0)	0.85	0.85	Calibration
q	rate of incarceration	N/A	0.0182	0.00196	Calculated
r	rate of release from imprisonment	0.5	N/A	N/A	Estimated from SIGO

Parenthetical values are the ranges used in sensitivity and uncertainty analyses. All rates are annual.

Abbreviations: SIGO, Sistema Integrado de Gestão Operacional; TB, tuberculosis.