Table 1.

The description and features of estimated parameters

Parameter	Description	Unit	Value	Source
br	Birth rate	1	Null	Reported data
dr	Death rate	1	Null	Reported data
β	Transmission relative rate	Per person. per month	Null	Curve fitting
β11	Transmission relative rate among students	Per person. per month	Null	Curve fitting
β22	Transmission relative rate among non-students	Per person. per month	Null	Curve fitting
β12	Transmission relative rate from students to non-students	Per person. per month	Null	Curve fitting
β21	Transmission relative rate from non-students to students	Per person. per month	Null	Curve fitting
κ	Transmission relative rate between population In and population Ip	1	0.2	Reference [56]
m	Proportion of early clearance	1	0.25	Reference [51]
θ	Rate of early clearance	Per month	0.286	Reference [51]
q	Proportion from E to Ip	1	Null	Reported data
1-q	Proportion from E to In	1	Null	Reported data
ω1	Rate from E to I1	Per month	0.667	Reference [93]
ω2	Rate from E to I2	Per month	0.667	Reference [93]
λ	Proportion of treatment failure	1	0.05	Reference [3]
μ1	Rate from I1 to E (reciprocal time to retreatment)	Per month	0.167	Reference [52]
μ2	Rate from I2 to E (reciprocal time to retreatment)	Per month	0.167	Reference [52]
γ1	I1 removal coefficient	Per month	0.286	Reference [57]
γ2	I2 removal coefficient	Per month	0.286	Reference [57]
f1	Case fatality rate of I1	1	0.1284	References [94, 95]
f2	Case fatality rate of I2	1	0.1284	Reference [94, 95]
a	Proportion of R developing into E (recurrence ratio)	1	0.062	References [53–55]
τ	Rate at which R progresses to E (reciprocal of time to recurrence)	Per month	0.064	Reference [53]

E for the exposed population (or low-risk latent tuberculosis infection, LTBI), I_p for pathogen positive tuberculosis population, I_n for pathogen negative tuberculosis population, I₁ for student tuberculosis population, I₂ for non-student tuberculosis population, and R for recovered or removed population