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Theory and Modern Applications

Table 1 Parameters of Model (1)

From: A mathematical model for evaluating the impact of nonpharmaceutical interventions on the early COVID-19 epidemic in the United Kingdom

Parameter

Description

Unit

Estimated mean value

Std

95% CI

Source

β(t)

The transmission probability

Dimensionless

0.0293

0.0016

[0.0262, 0.0324]

MCMC

0.0197

0.0010

[0.0177, 0.0217]

0.0037

0.0008

[0.0021, 0.0053]

0.0427

0.0025

[0.0378, 0.0476]

0.0659

0.0082

[0.0498, 0.0820]

c(t)

The contact rate

1/Day

13.8780

0.6569

[12.5905, 15.1655]

MCMC

5.6702

0.2203

[5.2384, 6.1020]

9.2718

0.5021

[8.2877, 10.2559]

10.9740

0.5102

[9.9740, 11.9740]

11.3180

0.5625

[10.2155, 12.4205]

α

The incubation rate of exposed individuals

1/Day

1/5

[23]

ρ

The fraction of symptomatic infectious individuals

Dimensionless

0.6

[24]

\(\gamma _{I}\)

The recovery rate of symptomatic infectious individuals

1/Day

1/12

[25]

\(\gamma _{H}\)

The recovery rate of hospitalized individuals

1/Day

1/10

[26]

\(\gamma _{A}\)

The recovery rate of asymptomatic infectious individuals

1/Day

1/9.5

[27]

\(\delta _{I}(t)\)

The rate at which symptomatic infectious individuals are hospitalized

1/Day

0.0432

0.0131

[0.0175, 0.0689]

MCMC

0.0536

6.59 × 10−3

[0.0407, 0.0665]

0.0379

7.16 × 10−3

[0.0237, 0.0521]

0.1823

8.38 × 10−3

[0.1659, 0.1987]

0.0309

0.0139

[0.0037, 0.0581]

μ(t)

The disease-induced mortality rate

1/Day

7.23 × 10−4

2.00 × 10−4

[3.32 × 10−4,1.11 × 10−3]

MCMC

5.53 × 10−3

5.40 × 10−4

[4.48 × 10−3,6.59 × 10−3]

3.05 × 10−3

2.18 × 10−4

[2.62 × 10−3,3.47 × 10−3]

7.66 × 10−4

1.50 × 10−4

[4.71 × 10−4,1.06 × 10−3]

1.12 × 10−3

1.17 × 10−4

[8.86 × 10−4,1.34 × 10−3]

θ

The factor for reduced transmission rate in asymptomatic infectious individuals

Dimensionless

0.5

[28]

ν

The factor for reduced transmission rate among exposed individuals

Dimensionless

0.5

[29]

q(t)

The proportion of quarantined close contacts

Dimensionless

0

Assume

0

0.8517

0.0628

[0.7286, 0.9748]

MCMC

0.5178

0.0280

[0.4629, 0.5727]

0.8231

0.0243

[0.7755, 0.8707]

λ

The release rate of the quarantined uninfected lose contacts

1/Day

1/14

[30]

\(\delta _{q}(t)\)

The rate at which quarantined infected individuals are hospitalized

1/Day

0

Assume

0

0.0574

0.0071

[0.0435, 0.0713]

MCMC

0.1738

0.0198

[0.1350, 0.2126]

0.1186

0.0136

[0.0919, 0.1453]