Table 1. Fixed model parameters and parameters estimated from the best-fit model for typhoid inpatients at Christian Medical College hospital in Vellore, India.
Fixed parameters | |||
Parameter definition | Symbol | Value | Source |
Birth rate | B | 14.9–19.2 live births per 1,000 | Census data |
Natural mortality rate | μ | 7.2–8.2 deaths per 1,000 | Census data |
Duration of infectiousness | 1/δ | 4 weeks | [36] |
Fraction infected who become chronic carriers | θ | 0.003–0.101 depending on age | [33] |
Disease-induced mortality | α | 0.001 | Assumption, [1] |
Duration of temporary full immunity to infection | 1/ω | 104 weeks | Assumption*, [30] |
Rate of shedding into the water supply | γ | 1 infectious unit/week | Assumption† |
Rate of decay of infectious particles from water supply | ξ | 1/3 week−1 | [37] |
The best-fit model was not sensitive to this parameter.
Inseparable from the estimated long-cycle transmission parameter, βw.