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Table 2 Parameter definitions and values

From: Feasibility of controlling hepatitis E in Jiangsu Province, China: a modelling study

Parameter

Description

Unit

Value

Range

Method

β

Susceptible person-to -infected person contact rate

km2·individuals−1·month−1

–

 ≥ 0

–

b

Scaled susceptible person-to-infected person contact rate

Month−1

–

 ≥ 0

Curve fitting

βw

Reservoir-to-Person contact rate

ml·cells−1·month−1

–

 ≥ 0

–

bw

Scaled Reservoir-to-Person contact rate

Month−1

–

 ≥ 0

Curve fitting

βpʹ

Pig-to-Person contact rate

km2·pigs−1·month−1

–

 ≥ 0

–

bpʹ

Scaled pig-to-person contact rate

Month−1

–

 ≥ 0

Curve fitting

βwʹ

Reservoir-to-Pig contact rate

ml·cells−1·month−1

–

 ≥ 0

–

bwʹ

Scaled Reservoir-to-Pig contact rate

Month−1

–

 ≥ 0

Curve fitting

βp

Pig-to-pig contact rate

km2·pigs−1·month−1

–

 ≥ 0

–

bp

Scaled Pig-to-Pig contact rate

Month−1

–

 ≥ 0

Curve fitting

σ

Scaled force of infection from environment-to-pig and pig-to-pig

Month−1

0.9

 ≥ 0

Reference [26]

ω

Incubation relative rate of individuals

Month−1

0.7500

0.5–2.5

Reference [25, 27]

γ

Recovery rate of the infectious

Month−1

1.0000

0.7143–1.0714

Reference [25]

γ′

Recovery rate of the asymptomatic

Month−1

1.0000

0.7143–1.0714

Reference [25]

ε

Pathogen lifetime relative rate

Month−1

1.3333

 ≥ 1.3333

Reference [28]

f

Hepatitis E antibody elimination rate

Month−1

0.00595

 ≥ 0.00595

Reference [29]

ωp

Incubation relative rate of pig

Month−1

1.0000

0–1

Reference [23]

Ï„

Slaughtered rate of infected pigs

Month−1

0.333

0–1

Reference [23]

μ

The rate of the infected person shedding the virus to the reservoir

Cells·km2/(cells·month·ml)

–

0–1

Assumption

μ′

The rate of asymptomatic person shedding the virus to the reservoir

Cells·km2/(cells·month·ml)

–

0–0.5

Assumption

μʹʹ

The rate of infected pigs shedding the virus to the reservoir

Cells·km2/(cells·month·ml)

–

0–0.5

Assumption

p

Proportion of the symptomatic

1

0.9

0–0.15

Reference [25]

bri

Birth rate of population

1

0.00931

0–1

Statistical Yearbook

dri

Death rate of population

1

0.00702

0–1

Statistical Yearbook

brp

Birth rate of pig herd

1

0.00667

0–1

Reference [23]

drp

Death rate of pig herd

1

0.00667

0–1

Reference [23]

x

Ratio of pig population density to population density

1

0.333

 ≥ 0

China Rural Statistical

Yearbook, the main data bulletin of the sixth national census in 2010

k

Relative transmissibility rate of asymptomatic

to symptomatic individuals

1

1

0–1

Reference [25]

δ

Monthly vaccination ratio

1

1

0–1

Artificial setting

λ

Effective rate of vaccination

1

1–0.933

0–1

Reference [29]

φ

Vaccination onset rate

Month−1

1/6

0–1

Reference [30]

  1. –: not applicable