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Table 1 Parameters for Flight-SEIR

From: Incorporating dynamic flight network in SEIR to model mobility between populations

Parameter

Description

Value

Type

\(S_i\)

# susceptible individuals at node i

  

\(E_i\)

# exposed individuals at node i

  

\(I_i\)

# infected individuals at node i

  

\(R_i\)

# recovered individuals at node i

  

\(S_{ij}\)

# susceptible individuals travelling from node i to node j

  

\(E_{ij}\)

# exposed individuals travelling from node i to node j

  

\(I_{ij}\)

# infected individuals travelling from node i to node j

  

\(R_{ij}\)

# recovered individuals travelling from node i to node j

  

\(N_i\)

Total population at node i

 

Constant

C

Mean latent period of the disease

5

Constant

\(\sigma\)

Incubation rate \(E_i \rightarrow I_i\)

\(\frac{1}{C}\)

Constant

D

Mean infectious period

14

Constant

\(\gamma\)

Recovery rate \(I_i \rightarrow R_i\)

\(\frac{1}{D}\)

Constant

\(\beta _{i}\)

Transmission rate \(S_i \rightarrow E_i\) for node i

 

Fitted

\(R0_{i}\)

The population reproduction number

\(\frac{\beta _{i}}{\gamma }\)

Fitted

\(Passengers_{ij}\)

# passengers travelling from node i to j

 

Estimated

\(Passengers_{ji}\)

# passengers travelling from node j to i

 

Estimated

\(P_i\)

Test positive rate of node i

 

Estimated

\(\eta\)

% of exposed individuals over all infected individuals

 

Estimated

\(F_{ij}\)

# flights from node i to node j

 

Estimated

CAP

Estimated average flight capacity

 

Estimated

LF

Load factor: onboard passengers to available seats ratio

 

Estimated

\(\tau\)

% of projected air traffic over pre-pandemic air traffic

 

Variable

  1. Type of the parameter can be constant, variable, fitted or estimated. Constant parameters are set based on WHO’s Report of the WHO-China Joint Mission on Coronavirus Disease 2019 (2020b) and Government of Canada (2020b)