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Table 2 Annual simulation values of the parameters between 2011 and 2016 and \({\mathcal {R}_{0}}\)

From: A dynamic model and some strategies on how to prevent and control hepatitis c in mainland China

parameter 2011 2012 2013 2014 2015 2016 Source
Λ 8.15×102 1.58×104 100 113 2.05×104 7.03×103 Estimation
l 1×10−10 4.41×10−5 1×10−10 0.1 0.1 0.1 Estimation
m 1×10−10 1.03×10−3 1×10−10 0.1 1.06×10−3 0.1 Estimation
n 4.89×10−6 2.78×10−5 1×10−10 0.1 9.46×10−2 0.1 Estimation
β 1 2.23×10−2 2.24×10−2 2.23×10−2 2.23×10−2 2.23×10−2 2.23×10−2 [24]
β 2 2.46×10−2 3.10×10−2 2.46×10−2 2.46×10−2 2.46×10−2 2.46×10−2 [24]
β 3 2.20×10−2 2.34×10−2 2.20×10−2 2.20×10−2 2.20×10−2 2.20×10−2 [24]
γ 8.45×10−4 1.01×10−3 10−6 8.90×10−4 3.81×10−5 2.11×10−3 Estimation
σ 2.88×10−2 5.00×10−2 3.63×10−2 3.03×10−2 3.33×10−2 2.72×10−2 Estimation
α 1.85×10−2 5.30×10−2 2.20×10−2 1.40×10−2 1.45×10−2 1.62×10−2 Estimation
d 1 10−2 5.08×10−3 10−2 10−2 9.89×10−3 10−2 Estimation
d 2 10−2 9.53×10−3 10−2 10−6 10−2 2.50×10−3 Estimation
ρ 1 0.1 8.20×10−2 0.1 0.1 0.1 0.1 Estimation
ρ 2 0.82 0.80 0.84 0.83 0.80 0.87 Estimation
δ 0.1 8.30×10−2 0.1 9.46×10−2 0.1 0.1 Estimation
η 1 0.46 0.34 0.90 0.95 0.97 0.96 Estimation
λ 0.99 0.94 0.96 0.96 0.91 0.92 Estimation
p 1 0.93 0.82 0.94 0.91 0.90 0.93 Estimation
\({\mathcal {R}_{0}}\) 1.75 1.21 1.50 1.87 1.77 1.86 Calculated