Modelling the Role of Diagnosis, Treatment, and Health Education on Multidrug-Resistant Tuberculosis Dynamics

Table 1

Model Parameter Values.

Description	Symbol	Value	Source
Recruitment rate	Λ	𝜇∗10^5	Assumed
Natural mortality rate	𝜇	0.02	[4]
Contact rate	𝑐	2	[5]
DS TB induced death rate	𝑑𝑠	0.3	[4]
MDR-TB induced death rate	𝑑𝑟	0.5	[4]
Probability of being infected with drug sensitive TB	𝛽𝑠	0.4	[6]
Probability of being infected with MDR-TB	𝛽𝑟	0.5	[5]
Progression rate to active sensitive TB	𝑘1	0.03	[7]
Progression rate to active MDR-TB	𝑘2	0.05	[7]
Fast progression rate to active drug sensitive TB	𝜌𝑠	0.2	Assumed
Fast progression rate to active MDR-TB	𝜌𝑟	0.1	[8]
Re-infection rate of exposed individuals with sensitive TB	𝛾𝑠	0.4	[9]
Re-infection rate of exposed individuals with MDR-TB	𝛾𝑟	0.02	[9]
Natural immunity rate of infectious individuals with sensitive TB	𝜑𝑠	0.15	[10]
Natural immunity rate of infectious individuals with MDR-TB	𝜑𝑟	0.2	[10]
Treatment rate of latently infected individuals with sensitive TB	𝜙𝑠	0.2	[4]
Treatment rate of infectious individuals with sensitive TB	𝜙𝑟	0.3	[4]
Treatment rate of infectious individuals with MDR-TB	𝜙	0.09	[4]
Education rate of infectious individuals with sensitive TB	𝑎	0.6	[4]
Rate of diagnosis	𝜎	0.3	[11]
Rate of recovery from active TB	𝑝	0.8	[5]
Regression rate to latency after treatment	𝑞	0.2	Assumed