. 2015 Dec 17;15:1–9. doi: 10.1016/j.epidem.2015.12.001

Table 1.

Variables and corresponding descriptions.

Variable	Description
n^r(t)	Total number of cases in region r at time t
D^r(t)	Number of notified cases in region r at time t
ρ	Reporting rate, D^r(t) = ρn^r(t)
N_r	Population of region r
$d_{s}^{r} (t)$	Number of secondary transmissions among all notified cases D^r(t) in region r at time t
s^r(t)	Number of notified secondary cases in region r at time t
$p_{s p}^{r} (t)$	Rate of generation of sporadic cases in region r at time t
$q_{s p}^{r} (t)$	Rate of generation of sporadic cases in region r at time t obtained from notified cases, $q_{s p}^{r} (t) = ρ p_{s p}^{r} (t)$
R^r(t)	Reproduction ratio for human-to-human transmission in region r at time t
α_r	Geographical variation of the rate of generation of sporadic cases in region r, $p_{s p}^{r} (t) = α_{r} p_{s p} (t)$
β_r	Geographical variation of the reproduction ratio for human-to-human transmission in region r, R^r(t) = β_rR(t)
q_sp,1, q_sp,2	Baseline level and peak level of the spline function assumed to model $q_{s p}^{r} (t)$
R₁, R₂, R₃	Three levels of the stepwise function assumed to model R^r(t)