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

Where two numbers are listed for ψ, they indicate the values used for TF 40% and 20% communities.

Name	Definition	Value	Units	Source
Si	Susceptible individuals		Number
Ii	Infected but not infectious		Number
IDi	Infected and Infectious (PCR and TF +ve)		Number
Di	Diseased and not infectious (TF +ve)		Number
PDi	Partially diseased can be re-infected (TF +ve)		Number
IOi	Infected and infectious (PCR +ve)		Number
β	Transmission rate parameter	Estimated	Proportion
ϵ	Degree of random mixing in the population	0.5	Proportion	[11]
c	Coverage level of treatment	80%	Percentage
e	Efficacy of treatment	85%	Percentage	[12, 31]
Ninfs	Maximum number of infections before immunity saturates	100	Number	[11]
N	Total number of individuals in the population	6000	Number
α	Infectivity of an individual proportional to the log of their bacterial load	0–1	Proportion	[11]
ρ1	Minimum rate of recovery from active disease after 1st infection	Estimated	Day−1	[8, 11]
ρ100	Maximum rate of recovery from active disease after 100th infection	1/7	Day−1	[8, 11]
ω1	Minimum rate of recovery from 1st infection	Estimated	Day−1	[8, 11]
ω100	Maximum rate of recovery from 100th infection	1/77	Day−1	[8, 11]
θ	Rate of change of the recovery from disease rate per infection	0.30	Proportion	[8, 11]
ϕ	Rate of change of the recovery from infection rate per infection	0.45	Proportion	[8]
π	Rate of change of infectivity rate per infection	Estimated	Proportion	[8, 11]
ψ	Non-linear power term	1.2, 1.4	Number	[9]
ζ1	Rate of recovery from PD with 1st infection	1/134	Day−1	[8, 18]
ζ100	Rate of recovery from PD with 100th infection	1/7	Day−1	[8, 18]
η1	Rate of recovery from IO with 1st infection	1/77	Day−1	[8]
η100	Rate of recovery from IO with 100th infection	1/38	Day−1	[8]
σ	Rate at which infected individuals become infectious	1/14	Day−1	[8]
λa	Age-specific force of infection	Calculated
v2	Non-linear constant term	2.6	Number	[9]
Γ	Susceptibility to re-infection in the disease state	0, 0.20, 0.50, 0.80	Proportion	[18]