Table 1 Model input parameters and outputs

Λ

TB incidence rate (new cases)

Fixed incidence (value irrelevant)

k _FN

Fraction of new cases that go to the public sector

(0-1)

k _RN

Fraction of retreatment cases that go to the public sector

(0-1)

y _t

Fraction of new cases that are sensitive

1-qC Where q is the relative transmissibility of resistant compared with sensitive strains (range of q from 0-1; assumes no resistant "superbugs") and C (range of C from 0-1) is the proportion of all incident cases with MDR

x _S

Fraction of new sensitive cases that go to the public sector

(0-1)

x _R

Fraction of new resistant cases that go to the public sector

(0-1)

f _R , f _S

f _•N , f _•P

Fraction failing treatment among drug resistant and sensitive

Fraction failing treatment in public and private sectors

f _S ≤ f _R Failure more likely for resistant

and

f _•N ≤ f _•P Failure as or more likely in private sector

a _N ,a _P

Fraction of TB cases in the public and private sectors who acquire resistance

(0-1) a _N ≤ a _P Acquired resistance as or more likely in private sector

l

Fraction that are lost to follow-up or die

(0-1)

r _N

Fraction in the public sector that return to the public sector for next treatment episode

Retreatment cases more likely to present in public sector

r _P

Fraction in the private sector that return to the private sector for next treatment episode

Retreatment cases more likely to present in public sector

Outputs

_A

Proportion of new cases with resistant TB

A _N

Proportion of new cases in public sector with resistant TB

A _P

Proportion of new cases in private sector with resistant TB

_B

Proportion of retreatment cases with resistant TB

B _N

Proportion of retreatment cases in public sector with resistant TB

B _P

Proportion of retreatment cases in private sector with resistant TB

C

Proportion of all cases with resistant TB

C _N

Proportion of all cases in public sector with resistant TB

C _P

Proportion of all cases in private sector with resistant TB