Variable/Parameter | Interpretation | Values |
---|---|---|
N | Host population size | – |
M | Mean number of adult worms | Model dependent |
L | Environmental reservoir | – |
μ b | Human host death rate | 1/50 yrs-1 |
σb | Parasite mortality rate | 1/4 yrs-1 [27] |
μ 2 b | Free-living larvae mortality rate | 365/7 yrs-1 [27] |
λ b | Egg production rate per female worm | 0.14 [31] |
β b | Rate of contact between human and infective stages | 0.63a yrs-1 [31] |
ψ | Flow of infectious material into the environment | – |
k | Negative binomial clumping parameter | 0.24 [34] |
γ | Density dependence fecundity parameter | 0.0006/female worm [34] |
p | Proportion of infants vaccinated per unit of time | [0,1] |
q b | Rate of mass vaccination | – |
ω b | Rate of loss of vaccine-induced immunity per unit of time (vaccine duration of protection: \( \tau =\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$\omega $}\right.\Big) \) | [0,∞) |
v 1 | Vaccine efficacy with an effect on worm life expectancy | [0,1] |
v 2 | Vaccine efficacy with an effect on worm fecundity | [0,1] |
v 3 | Vaccine efficacy with an effect on worm establishment | [0,1] |