Skip to main content

Table 3 Notations for our model

From: Estimating the daily trend in the size of the COVID-19 infected population in Wuhan

Notation

Meaning

State

Reference

Tt

The reported number of confirmed cases outside Hubei province on Day t

Known

Official websites

It

The observed number of imported cases on Day t

Known

Official websites

Lt

The observed number of local cases on Day t

Known

Official websites

Ut

The number of cases with no information on Day t

Known

Ut = Tt − It − Lt

xt

The number of imported cases on Day t

Estimated

 

Xt

The cumulative number of imported cases by Day t

Estimated

\( {X}_t={\sum}_{k=1}^t{x}_k \)

Nt

The cumulative number of cases that should be confirmed in Wuhan by Day t

Estimated

 

t0

The date of infection for the very first case

Estimated

 

p

The daily probability of departing from Wuhan

Known

[7, 8]

d

The time from infection to detection

Known

[9]

tc

The time when Nt increases at the fastest rate

Known

From our data

r

A parameter that determines the growth rate of Nt

Known

[3]

K

The size of the population that are susceptible to COVID-19 in Wuhan.

Estimated