Modeling Transmission of Tuberculosis with MDR and Undetected Cases

Table 1

Model parameters for simulations.

Parameters	Estimate	Source
𝐴 = recruitment rate	1.05∗10^6	GHSY
𝛽1 = infection rate by the undetected infectious	2.2∗10^−7
𝛽2 = infection rate by the detected infectious drug sensitive	2∗10^−8
𝛽3 = infection rate by the detected infectious MDR-TB	6∗10^−8
𝜇 = natural mortality rate	0.015	GHSY
𝑘 = endogenous reactivation rate	2∗10^−3	ARIG
𝑘1 = detected rate in time	3.2∗10^−3	ARIG
𝜔 = reinfected rate from the treated	6∗10^−2
𝜐 = detected rate from the undetected infectious	0.6	ARIG
𝜇𝐷 = death rate associated to TB	0.25
𝜇^′𝐷 = death rate associated to TB	0.0063	ARIG
𝜇𝐷^′′ = death rate associated to TB	0.028
𝑟1 = treatment rate of detected infectious drug sensitive	0.94	ARIG
𝑟2 = treatment rate of detected infectious MDR-TB	0.6	ARIG
𝜎 = treatment failure rate of detected drug sensitive	0.04	ARIG
𝑚 = proportion of detected infectious drug sensitive in time	0.916	ARIG
𝑝 = proportion of detected infectious drug sensitive with delay	0.916	ARIG