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Table 1 The description and features of estimated parameters

From: Transmissibility of tuberculosis among students and non-students: an occupational-specific mathematical modelling

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 [53,54,55]

Ï„

Rate at which R progresses to E (reciprocal of time to recurrence)

Per month

0.064

Reference [53]

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