Incorporating dynamic flight network in SEIR to model mobility between populations

Applied Network Science

Table 1 Parameters for Flight-SEIR

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

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)