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Table 1 Parameter summary

From: Modeling tuberculosis dynamics with the presence of hyper-susceptible individuals for Ho Chi Minh City from 1996 to 2015

Prms Meaning Fixed Reference Infer Note
λ (t) TB force of infection function    NA See Fig. 2
ß 1 Transmission rate of the year 1996    Yes
ß 2 Transmission rate of the year 2015    Yes
Φ Probability that a new infection results in an active TB. 10% [18, 20, 21] No  
ε 1 Relative rate that a new infection results in an active TB between people in L and U. 0.21 [53]   
ε 2 Relative rate that a new infection results in an active TB between people in R and U.    Yes  
ω 1 TB reactivation rate of people in L. 0.00098 p-yrs [54]   The life-time risk: 5–10%
ω 2 TB reactivation rate people in R.    Yes  
k 1 Relative rate that a new infection results in an active TB case between hyper-susceptible individuals (Ua, La, and Ra) and uninfected people (U).    Yes  
ω h1 TB reactivation rate of hyper-susceptible individuals with latent TB (La).    Yes  
ω h2 TB reactivation rate of hyper-susceptible individuals with recovered TB (Ra).    Yes  
δp Probability of an active TB in G1 develop into pulmonary TB. 78% HCMC Report No  
δph Probability of an active TB in G2 develop into pulmonary TB. 57% HCMC Report No  
d ptb Death probability of PTB case. 1% HCMC Report No  
d Exptb Death probability of ExPTB case. 10% HCMC Report No  
s ptb Probability of successful treatment for PTB 95% HCMC Report No  
s Exptb Probability of successful treatment for ExPTB 80% HCMC Report No  
η Recovery rate 2   No Average infectious time: 6 months.
γ Infectivity of co-infected pulmonary cases    Yes  
r new-tb (t) Reporting rate of new TB cases at yeart    NA  
r relapsed-tb (t) Reporting rate of relapsed TB cases at year t    NA  
r 1 Parameter of rnew-tb(t) and rrelapsed-tb(t)    Yes See Fig. 2
r 2 Parameter of rrelapsed-tb(t)    Yes
Breaking-year Parameter of rrelapsed-tb(t) - breaking year.    Yes
b Birth rate    No Parameter b is adjusted to sustain the HCMC population size GSO’s report.
N Population Size   [32] No
μ Natural death rate 0.0054 [32] No
sc Scaling parameter 1.9508   No See Section 1.1 of supplement
est Expected survival time of hyper-susceptible individuals. 1 yr   No