Table 1 Parameters used for the population dynamics and epidemiological models
Parameter | Description | Value (.year-1) |
|---|---|---|
Vector | ||
  b v | Number of eggs per adult female tick surviving to reach larval stage | 200 |
  K v | Carrying capacity for vector | 1e3 |
  μ L | Mortality rate per tick larva | 0.95 |
  μ N | Mortality rate per tick nymph | 0.3 |
  μ A | Mortality rate per adult tick | 0.4 |
  σ L | Maturation rate from larvae to nymph | 0.3 |
  σ N | Maturation rate from nymph to adult | 0.3 |
  m ij | Migration rate | variable (from 0.01 to 0.02) |
  α | Strength of the Allee effect | variable (from 1 to 40) |
Vertebrate host | ||
  b h | Vertebrate host birth rate | 1.4 per pair |
  K h | Carrying capacity for the vertebrate host | 3e2 |
  μ h | Vertebrate host mortality rate | 0.12 |
Epidemiological parameters | ||
  β hv | Transmission from tick to vertebrate host | 0.8 |
  β vh | Transmission from vertebrate host to tick | 0.5 |
  γ h | Average duration of infection | 0.33 |
  θ | Vertical transmission from adult tick to eggs | variable (from 0.001 to 0.1) |
  c | Yearly contact rate (number of yearly bloodmeal) | variable (from 1 to 1.2) |