Table 1 Definitions and values of parameters

β

Transmission rate for non-vaccines

Vary

[28]

β_v

Transmission rate for vaccines

Vary

[28]

v

Vaccination coverage of COVID-19

Vary

Assumed

η

Efficacy rate of COVID-19 vaccine

Vary

Assumed

θ₁

Modification factor of pre-symptomatic infectiousness

0.0275

Assumed

θ

Modification factor of asymptomatic infectiousness

0.0275

[28]

σ

Transition rate of exposed individuals without vaccination to pre-symptomatic class

1/3

[32]

σ_v

Transition rate of exposed individuals with vaccination to pre-symptomatic class

1/3

[32]

1/ρ

Pre-symptomatic period

1/2

[32]

q

Quarantine fraction

Vary

[28]

ξ

Probability of having no symptom among infected individuals

0.2964

[28]

δ

Transition rate of the symptomatic infected individual without vaccination to the diagnosed and quarantined infected class

0.1344

[28]

δ_Q

Transition rate of the quarantined infected individuals without vaccination to the diagnosed and quarantined infected class

0.1237

[28]

δ_A

Transition rate of the asymptomatic infected individuals without vaccination to the diagnosed and quarantined class

0.1237

Assumed

δ_v

Transition rate of the symptomatic infected individuals with vaccination to the diagnosed and quarantined class

0.1344

Assumed

γ

Recover rate of the symptomatic infected individuals without vaccination

0.1957

[28]

γ_v

Recover rate of the symptomatic infected individuals with vaccination

0.1957

Assumed

γ_Av

Recovery rate of asymptomatic infected individuals with vaccination

0.139

Assumed

γ_A

Recovery rate of asymptomatic infected individuals without vaccination

0.139

[28]

γ_D

Recovery rate of quarantined diagnosed individuals

0.2

[28]

α

Disease-induced death rate

0.008

[28]