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Table 1 Definitions of frequently used parameters

From: What is the role of aerosol transmission in SARS-Cov-2 Omicron spread in Shanghai?

Variables

Description

\(\beta (t)\)

Transmission rate by close contact with infectious

f

Transmission rate by aerosol

\(\xi\)

Probability of exposure to aerosol

\(\theta\)

Infectivity of asymptomatic cases

 

relative to symptomatic cases

\(\varphi\)

Reduction of transmission rate due to vaccination

\(1/\sigma\)

Average duration of latent period

d(t)

Detection rate of nucleic acid testing

p

Proportion of an unvaccinated latent who developed symptoms

\(\eta\)

Proportion of a vaccinated latent who developed

 

symptoms relative to an unvaccinated latent

\(1/\gamma _A\)

Average infectious periods of asymptomatic population

a(t)

Average transfer rate from asymptomatic onset to shelter hospital

\(\delta\)

Transfer rate from asymptomatic cases to symptomatic cases

\(1/\gamma _I\)

Average infectious periods of symptomatic population

 

hospitalizations relative to an unvaccinated infection

b(t)

Average transfer rate from symptom onset to designated hospital

\(1/\gamma _F\)

Length of shelter hospital stay before recovery

\(1/\gamma _H\)

Length of hospital stay before recovery

\(\mu\)

Fatality rate among unvaccinated hospitalized patients

\(\omega\)

Proportion of unvaccinated hospitalized patients requiring ICU

\(\varepsilon\)

Proportion of fatality rate among vaccinated hospitalized patients

 

relative to an unvaccinated patients

\(\kappa\)

Proportion of vaccinated hospitalized patients requiring

 

ICU relative to an unvaccinated patients

\(\pi\)

Fatality rate among ICU patients

\(1/\gamma _c\)

Length of ICU stay before recovery death

\(1/\gamma _{cD}\)

Average time from ICU admission to death

\(1/\gamma _D\)

Average time from hospital admission to death