Table 1 Parameters used in a metapopulation model of sheep scab (see Additional file 1 for sources).
From: Sheep scab transmission: a spatially explicit dynamic metapopulation model
| Parameter | Description | Value used in model |
|---|---|---|
| \(\alpha\) | The daily rate of P. ovis shedding per infected individual that contributed to environmental infectious pressure | Prior (0,0.012, uniform) |
| \(\varepsilon\) | The scaling rate for the contribution of carriers to environmental infectious pressure | \(\frac{1}{3}\) |
| D | Spatial coupling between holding i and neighbour k | 0.5642857 |
| \({d}_{ik}\) | The Euclidean distance between holding i and neighbour k | All distances up to 2 km radius |
| \({S}_{i},{I}_{i, }{C}_{i}, {T}_{i}\) | The number of infected sheep at holding i | – |
| \({N}_{i}\) | The total number of sheep in all compartments (\({S}_{i}+{I}_{i}+{C}_{i})\) | – |
| \(\beta\) | The decay rate of the environmental infectious pressure | Prior (0.02, 0.08, uniform) |
| \(\upsilon\) | The indirect transmission rate from the environmental compartment to susceptible sheep | Prior (0,0.0006, uniform) |
| \(\gamma\) | Recovery rate for infected sheep | \(\frac{1}{77}\) days−1 |
| \(q\) | The proportion of acute infections that become carriers (\(q\)) | \(\frac{1}{2}\) |
| \(\tau\) | Recovery rate for carriers | \(\frac{1}{653}\) days−1 |
| \(\varphi i(t)\) | A time-dependent environmental infectious pressure at holding i | – |