Table 1 Description of parameters in system (1)
Parameter | Interpretation | Value | Ref |
|---|---|---|---|
A | The input munber of young sheep | 100400 | [30] |
\(\varepsilon\) | Infection coefficient of individual lambs | 3.9e-6 | Estimated |
\(\beta\) | The transmission rate from I to S | 4.2e-14 | Estimated |
\(\mu\) | Individual natural mortality | 0.22 | [30] |
\(\sigma\) | The incidence rate form E to I | 3.4 | [30] |
\(\gamma\) | Slaughter rate of I | 0.0023 | Estimated |
k | The brucella shedding rate by I | 15 | [40] |
d | The natural decaying rate of W | 3.577 | [40] |
n | Environmental disinfection times | 1 | [41] |
\(\tau\) | The frequency of disinfection | 1 | [41] |
m | Transfer rate from \(S_{1}\) to \(S_{2}\) | 0.4 | [25] |
\(\theta\) | Immunization rate in adult sheep | 0.001 | [41] |
\(\delta\) | Loss of vaccination rate | 0.4 | [27] |
\(\alpha\) | Sheep birth rate | 0.305 | Estimated |
\(\beta _{1}\) | The transmission rate from B to \(S_{h}\) | 7.15e-8 | Estimated |
\(A_{h}\) | The recruitment rate of human | 10020 | [30] |
\(\beta _{h}\) | The transmission rate from I to \(S_{h}\) | 3.18e-10 | Estimated |
\(\mu _{h}\) | The natural death rate of human | 0.000495 | [30] |
\(\delta _{h}\) | The morbid death rate of humans | 0.0001 | [30] |
r | The transfer rate from \(I_{h}\) to \(C_{h}\) | 0.64 | [30] |