Table 1: Description of model parameters with units.

Values used for these parameters are given below in Table 2.

Parameter	Description	Unit
b	birth rate	ppl/yr
µ	natural mortality	yrs−1
µT	TB-related mortality	yrs−1
β	transmission rate	yrs−1
k	rate of flow out from exposure	yrs−1
p	probability of active disease upon infection	%
χ	clearance of first infections	%
σ	protection from exogenous reinfection	%
r	rate of endogenous reactivation	yrs−1
d	successful treatment rate	yrs−1
ue	proportion of migrants recently exposed to TB	%
Uℓ	proportion of migrants with latent TB	%
ψs, ψℓ	vaccination rates	yrs−1
νs, νℓ	proportion of susceptible/latent immigrants that are vaccinated	%
ws, wℓ	rates of vaccine waning	yrs−1
γs, γℓ	rates of transmission to vaccinated individuals	yrs−1
rv	reactivation rate of vaccinated latent individuals	yrs−1