Table 1.

The summary table of model parameters’ values.

parameter	value	unit	statu
${\gamma }_1^{-1}={\gamma }_2^{-1}$	1.5	year	fixed
${\mu }^{-1}$	75	per year	fixed
$\mathrm{\Lambda }$	$\mu N$	person	fixed
p	0.05	per year	fixed
q	0.1	per year	fixed
$\alpha$	1	per case day	assumed
c	0.1	per day	assumed
$\kappa$	0.01	unit-free	fixed
$\rho$	0	per day	assumed
v	1	per day	assumed
${\beta }_1\left(t\right)={\beta }_2\left(t\right)$	time-varying	per day	to be estimated
N	$8\times {10}^7$	person	fixed
$S\left(0\right)$	0.15	unit-free	fixed
$T\left(0\right)$	$1\times {10}^{-3}$	unit-free	fixed
$T_e\left(0\right)$	$1\times {10}^{-3}$	unit-free	fixed
$R\left(0\right)$	$1-S\left(0\right)-T\left(0\right)-T_e\left(0\right)$	unit-free	fixed
$W\left(0\right)$	0.04	unit-free	assumed