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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)