Table 2.
Parameter values and sensitivity indices for each of the parameters for the bovine anaplasmosis model (12).
| Parameter | Description | Value (1/day) | Sensitivity index |
|---|---|---|---|
| ΠJ | Juvenile cattle recruitment rate | 0.000299 | 0.4799 |
| ΠA | Adult cattle recruitment rate | 0.000274 | 0.4373 |
| ΠT | Nymph recruitment rate | 0.001609 | 0.0276 |
| βJ | Cattle transmission probability | 0.00048 | 0.0257 |
| βA | Cattle transmission probability | 0.00048 | 0.0019 |
| βT | Ticks transmission probability | 0.00048 | 0.0276 |
| βE | Devices transmission probability | 0.15 | 0.9448 |
| ϕT | Tick biting rate | 0.60 | 0.0552 |
| ϕE | Devices contact rate | 0.0192 | 0.9448 |
| μB | Cattle natural death rate | 8.216 × 10−07 | −1.8883 |
| μT | Ticks natural death rate | 4.4082 × 10−06 | −0.0552 |
| μE | Mechanical device decay rate | 0.50 | −0.9448 |
| δB | Disease-induced mortality rate | 0.39 | −0.8833 |
| σ1 | Disease progression rate | 0.031 | 0.0027 |
| σ2 | Disease progression rate | 0.0289 | 0.1855 |
| σ3 | Disease progression rate | 0.0270 | 0.6977 |
| αB | Juvenile cattle maturation rate | 0.0037 | −0.0041 |
| αT | Nymph ticks maturation rate | 0.0056 | 0 |
| εE | Devices contamination rate | 0.00061 | 0.9448 |
| p | Fraction in cattle | 0.20 | 0.0126 |
| k | Fraction in ticks | 0.10 | 0.0276 |