Table 2.

Parameter values for numerical examples

	In region $1$, $j=1$	In region $2$, $j=2$
${\mathit{\beta }}_j$ Effective contact rate	$0.35$	$0.1$
$d_j$ Mortality rate	$1/(70·365)$	$1/(60·365)$
${\mathit{\delta }}_j$ Recovery rate	$1/7$	$1/7$
$R_j(0)$ Reproduction number	$2.449$	$0.700$

	From region $1$ to region $2$	From region $2$ to region $1$
	$j=2$, $k=1$	$j=1$, $k=2$
${\mathit{\beta }}_{jk}^T$ Effective contact rate in the transportation	$1.9$	$1.6$
${\mathit{\delta }}_{jk}^T$ Recovery rate in the transportation	$0.1$	$0.1$
${\mathit{\tau }}_{jk}$ Duration of the transportation	$0.8$	$1$
$\mathit{\eta }$ Reproduction number in the transportation	$4.349$

Effective contact rate in the region is based on Nichol et al. (2010) for human influenza. In this parameter setting $\mathit{\eta }>R_1(0)>R_2(0)$ holds