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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