Table 2.

Estimation of parameters.

Parameters	Descriptions	Values	Source
$\Lambda$	Recruitment rate	811.9471	Estimated
$\mu$	Natural death rate	$\frac{1}{84}\times \frac{1}{365}{\mathrm{day}}^{-1}$	[42]
$\theta$	Proportion of $S$ who become $E_1$	0.310696	Fitted
$\beta$	The transmission coefficient	0.899764	Fitted
${\alpha }_1$	Proportion of $I_1$ who are in contact with $S$	0.686165	Fitted
${\alpha }_2$	Proportion of $I_2$ who are in contact with $S$	0.458246	Fitted
${\alpha }_3$	Proportion of $I_3$ who are in contact with $S$	0.861165	Fitted
$v_1$	Rate of moving from $E_1$ to $I_1$	0.564536	Fitted
$v_2$	Rate of moving from $E_1$ to $I_2$	0.597458	Fitted
$v_3$	Rate of moving from $E_1$ to $I_3$	0.828898	Fitted
$v_4$	Rate of moving from $E_2$ to $I_1$	0.505740	Fitted
$v_5$	Rate of moving from $E_2$ to $I_2$	0.645081	Fitted
$v_6$	Rate of moving from $E_2$ to $I_3$	0.899525	Fitted
$w_1$	Proportion of $I_1$ assigned to $T_1$ after diagnosis	0.246770	Fitted
$w_2$	Proportion of $I_1$ assigned to $T_2$ after diagnosis	0.047458	Fitted
$w_3$	Proportion of $I_2$ assigned to $T_1$ after diagnosis	0.260097	Fitted
$w_4$	Proportion of $I_2$ assigned to $T_2$ after diagnosis	0.013579	Fitted
$w_5$	Proportion of $I_3$ assigned to $T_1$ after diagnosis	0.644552	Fitted
$w_6$	Proportion of $I_3$ assigned to $T_2$ after diagnosis	0.020362	Fitted
${\eta }_1$	Proportion of severe $T_2$ to mild $T_1$	0.005115	Fitted
${\eta }_2$	Proportion of mild $T_1$ to severe $T_2$	0.806286	Fitted
${\xi }_1$	Recovery rate of $T_1$	0.894377	Fitted
${\xi }_2$	Recovery rate of $T_2$	0.868972	Fitted