Research Article
Estimating the Optimal Control of Zoonotic Visceral Leishmaniasis by the Use of a Mathematical Model
Table 1
Model’s parameters. Values from Burattini et al. [
14]. The indexes
and
stand for humans, dogs, and sandflies, respectively.
| Parameter | Biological meaning | Values |
| | Natural mortality rate | 4.11 10−5 days−1 | | Disease-induced lethality | 5.48 10−3 days−1 | | Average daily biting rate | 1.25 10−1 days−1 | | Vector density per host | 1.00 102 | | Spontaneous recovery rate | 5.48 10−4 days−1 | | Loss of immunity rate | 5.48 10−4 days−1 | | Latent recovery rate | 1.10 10−2 days−1 | | Inverse of incubation period | 4.00 10−4 days−1 | | Recovery rate of immunes | 1.81 10−3 days−1 | | Proportion of infective bites | 1.00 10−2 | | Natural mortality rate | 1.81 10−4 days−1 | | Disease-induced lethality | 1.81 10−3 days−1 | | Average daily biting rate | 1.25 10−1 days−1 | | Vector density per host | 5.00 102 | | Spontaneous recovery rate | 2.74 10−4 days−1 | | Loss of immunity rate | 2.74 10−3 days−1 | | Treatment rate | Variable | | Vaccination | Variable | | Culling rate | Variable | | Insecticide collar | Variable | | Latent recovery rate | 8.22 10−3 days−1 | | Inverse of incubation period | 1.10 10−3 days−1 | | Recovery rate of immunes | 9.04 10−4 days−1 | | Proportion of infective bites | 2.00 10−2 | | Natural mortality rate | 6.00 10−2 days−1 | | Extrinsic incubation period | 7.00 days | | Proportion of infective bites | 5.00 10−2 |
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