Table 4 Life-cycle and health-state parameters of the model.
Parameter | Description | Value | Sources |
|---|---|---|---|
\({\phi }_{Y}^{-1}\) | Duration of the period when calves are with their mother, determines the duration in YJ and YFbirth | 180 | Expert knowledge |
\({\phi }_{G}^{-1}\) | Duration of gestation | 274 | Expert knowledge |
\({\tau }^{*}\) | Age before which natural mortality is applied | 21 | Expert knowledgea |
\({p}_{{A}_{e}}\) | Probability to abort when infected in early gestation (0 to 42 days) | 0.8 | |
\({p}_{{A}_{m}}\) | Probability to abort when infected in mid-gestation (43 to 150 days) | 0.25 | |
\({\phi }_{M}^{-1}\) | Duration of the protection given by maternal immunity | 150 | [35] |
\({\phi }_{T}^{-1}\) | Duration of transient infection | 7 | [33] |
\({p}_{P}\) | Probability of vertical transmission in mid-gestation (43 to 150 days) | 0.937 | |
\({p}_{{E}_{P}}\) | Probability of disease-related mortality, neglecting mortality at birth | 0.00189 | [8] |
\({\beta }_{{T}_{w}}\) | Transmission rate per transient animal within its group | 0.03 | |
\({\beta }_{{P}_{w}}\) | Transmission rate per persistent animal within its group | 0.5 | |
\({\beta }_{{P}_{b}}\) | Transmission rate per persistent animal to other groups | 0.01 | [39]b |
\({\beta }_{{P}_{n}}\) | Transmission rate per persistent animal in geographically neighbouring herds that can access to pasture | 0.001 | [31]b |
Radius | Maximum threshold distance (in km) used for defining pathogen transmission through pasture | 2 | Expert knowledge |