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Table 1 Parameters of model (0.2) and (0.3) with default values

From: Dynamic modeling and optimal control of cystic echinococcosis

Parameters Biological definition Value (range) Source
\({A}_{h}\) Annual recruitment rate of human population \(7.482\times {10}^{4}\) [35]
\(p\) Influence coefficient of publicity measures 0.1 (0–1) Set
\(\mu\) Recovery rate of humans who are received surgery 0.75 [13]
\({d}_{h}\) Natural death rate of humans 1/76.5 [35]
\(m\) The mortality rate induced by CE 0.022 [36]
\({\beta }_{1}\) Prevailing infection pressure between parasite eggs and humans \(1.004\times {10}^{-12}\) Esti
\(\nu\) Transition rate from exposed humans to infectious humans 1/14 [13]
\({A}_{l}\) Annual recruitment rate of sheep \(6.88\times {10}^{5}\) [35]
\({\beta }_{2}\) Prevailing infection pressure between parasite eggs and sheep \(1.08\times {10}^{-9}\) Esti
\(\epsilon\) Fraction of annual slaughtered sheep 0.2 (0.16–0.667) Assumption
\(\omega\) Vaccination rate of sheep 0.4 (0.2–1) Set
\(\delta\) Invalid sheep vaccination rate 0.67 (0.5–2) Assumption
\({d}_{l}\) Natural death rate of sheep 0.152 [35]
\({A}_{d1}\) Annual recruitment rate of domestic dogs \(2\times {10}^{5}\) [35]
\(q\) The proportion of domestic dogs intake the livers of sheep 0.3 (0–1) Set
\({\beta }_{3}\) Prevailing infection pressure between infectious sheep and domestic dogs \(7.1\times {10}^{-9}\) Esti
\(\gamma\) Deworming recovery rate of infectious domestic dogs 0.4 (0.1–0.9) Set
\(d\) Natural death rate of dog 0.08 [37]
\({b}_{d2}\) Birth rate of stray dog 2 Assumption
\({K}_{d2}\) The food resources of stray dogs in the environment 8.5 × 107 (6.5–10.5) × 107 Assumption
\({\beta }_{4}\) Prevailing infection pressure between infectious sheep and stray dogs \(5\times {10}^{-8}\) Esti
\(\theta\) Disposing rate of stray dogs 0.4 (0.1–0.9) Set
\(\phi\) Egg released rate of one worm unit time 42 [38]
\(h\) Worm produced rate per dog per year 560 [14]
\(\eta\) Parasite eggs mortality rate in the dogs body 12/5 [14]
\({t}_{1} ({t}_{2})\) The average lifespan of domestic dogs (stray dogs) 6 (4) [14]
\({\eta }_{1}\) Parasite eggs natural mortality in the environment 10.42 [37]
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