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Table 1 Description and values of model parameters

From: Epidemiological characteristics of pulmonary tuberculosis in mainland China from 2004 to 2015: a model-based analysis

Name Definition Mean and 95% CI Source
r s Rate at which patients complete treatment 0.125 (0.111, 0.1667) [14]
μ b Natural birth rate 0.001 [27]
μ d Natural death rate 0.00059 [27]
α Proportion of patients infected with non-MDR-TB 0.898 (0.878–0.9164) [16]
q 1 Cure rate of patients infected with non-MDR-TB 94% [1]
q 2 Cure rate of patients infected with MDR-TB 57% [28]
θ Rate at which an infected person develops disease due to reduced immunity and subsequent proliferation of M. tuberculosis already in the body 0.00026 (0.00013, 0.00039) [4, 27]
δ Rate of spontaneous recovery in patients with primary pulmonary tuberculosis 0.5 [1]
r 1 Rate of treatment completion in patients infected with non-MDR-TB 0.1667 [17]
τ Rate at which an infected person in the incubation period converts to primary pulmonary tuberculosis 0.206 (0.1542, 0.2765) [15]
r 2 Rate of treatment completion in patients infected with MDR-TB 0.05 [17]
λ Proportion of susceptible individuals who have been infected with M. tuberculosis, but show no symptoms 0.19 [15]
ν Proportion of pulmonary tuberculosis patients seeking treatment 0.472 [4]
κ s Rate of M. tuberculosis is completely eliminated 0.939 (0.928, 0.947) [29]
κ f Rate of M. tuberculosis is not completely eliminated 0.014 (0.011, 0.019) [29]
d f Rate of death from pulmonary tuberculosis without treatment 0.019 (0.015, 0.024) [30]
d h Rate of spontaneous recovery in patients with secondary pulmonary tuberculosis 0.0069 [14]
d t Rate of death of pulmonary tuberculosis patients after treatment 0.013 (0.011–0.016) [29]
p(t) Proportion of patients with infectious pulmonary tuberculosis at time t Table a1 [13]
f() Probability density distribution function of the average infectious period Gamma distribution
shape = 6.612; scale = 2.755
Weibull distribution
shape = 2.782; scale = 2.696
log-normal distribution
mean = 0.805; SD = 0.375
[18]