Table 1. State variables, parameters definitions and values used in the model.

Name	Definition	Value	Units	Source
Si	Susceptible individuals	-	Number
Ii	Infected but not infectious individuals (PCR +ve)	-	Number
IDi	Infected and infectious individuals (PCR and TF+ve)	-	Number
Di	Diseased and not infectious individuals (TF+ve)	-	Number
β	Transmission rate parameter	0.00655405	Proportion
Ninfs	Maximum number of infections before immunity saturates	100	Number	[14]
ϵ	Degree of random mixing in the population	0.5	Proportion	[14]
c	Coverage	80%	Proportion
e	Treatment efficacy	85%	Proportion	[13]
λa	Age specific force of infection		day−1
σ	Rate at which infected individuals become infectious	1/14	day−1	[15]
ρ1	Minimum rate of recovery from active disease after 1st infection	1/300	day−1	[12, 14, 15]
ρ100	Maximum rate of recovery from active disease after 100th infection	1/7	day−1	[12, 14, 15]
ω1	Minimum rate of recovery from infection after 1st infection	1/200	day−1	[12, 14, 15]
ω100	Maximum rate of recovery from infection after 100th infection	1/77	day−1	[12, 14, 15]
α	Infectivity of an individual proportional to their bacterial load	0.114	Proportion	[12, 14, 15]
θ	Rate of change of the recovery from disease rate per infection	0.3	Proportion	[14, 15]
ϕ	Rate of change of the recovery from infection rate per infection	0.45	Proportion	[15]
Γ	Susceptibility to re-infection in the disease state	0.5	Proportion	[12, 16]