Table 1.
Model's parameters. Values from Burattini et al. [14]. The indexes h, d, and s stand for humans, dogs, and sandflies, respectively.
| Parameter | Biological meaning | Values |
|---|---|---|
| μh | Natural mortality rate | 4.11 × 10−5 days−1 |
| αh | Disease-induced lethality | 5.48 × 10−3 days−1 |
| a h | Average daily biting rate | 1.25 × 10−1 days−1 |
| m h | Vector density per host | 1.00 × 102 |
| r h | Spontaneous recovery rate | 5.48 × 10−4 days−1 |
| γh | Loss of immunity rate | 5.48 × 10−4 days−1 |
| δh | Latent recovery rate | 1.10 × 10−2 days−1 |
| φh | Inverse of incubation period | 4.00 × 10−4 days−1 |
| σh | Recovery rate of immunes | 1.81 × 10−3 days−1 |
| b h | Proportion of infective bites | 1.00 × 10−2 |
| μd | Natural mortality rate | 1.81 × 10−4 days−1 |
| αd | Disease-induced lethality | 1.81 × 10−3 days−1 |
| a d | Average daily biting rate | 1.25 × 10−1 days−1 |
| m d | Vector density per host | 5.00 × 102 |
| r d | Spontaneous recovery rate | 2.74 × 10−4 days−1 |
| γd | Loss of immunity rate | 2.74 × 10−3 days−1 |
| ωd | Treatment rate | Variable |
| ν | Vaccination | Variable |
| ξ | Culling rate | Variable |
| θ | Insecticide collar | Variable |
| δd | Latent recovery rate | 8.22 × 10−3 days−1 |
| φd | Inverse of incubation period | 1.10 × 10−3 days−1 |
| σd | Recovery rate of immunes | 9.04 × 10−4 days−1 |
| b d | Proportion of infective bites | 2.00 × 10−2 |
| μs | Natural mortality rate | 6.00 × 10−2 days−1 |
| τ | Extrinsic incubation period | 7.00 days |
| c | Proportion of infective bites | 5.00 × 10−2 |