Table 2.

Normalized sensitivity indices $\Phi \left(R_{df}\right|h)$ for disease-free reproduction number.

Param	Normalized sensitivity index
$\beta$	1
$\mu$	$\frac{\nu }{D_S}-\frac{\mu }{D_E}-\frac{\mu }{D_I}+\frac{\mu \beta }{k_1{D}_Q{D}_J{\alpha }_L}[{\epsilon }_E{D}_Q{D}_J+{\epsilon }_Q{D}_J({\gamma }_1-k_1{\alpha }_Q)$
	$+{\epsilon }_J(k_2({\gamma }_1-k_1{\alpha }_Q)-k_1{D}_Q{\alpha }_J)].$
$\nu$	$-\frac{\nu }{D_S}$
${\epsilon }_E$	$\frac{\beta {\epsilon }_E{\alpha }_E}{{\alpha }_L}$
${\epsilon }_Q$	$\frac{\beta {\epsilon }_Q{\alpha }_Q}{{\alpha }_L}$
${\epsilon }_J$	$\frac{\beta {\epsilon }_J{\alpha }_J}{{\alpha }_L}$
${\gamma }_1$	$\frac{\beta {\alpha }_Q}{D_J{\alpha }_L}[D_J{\epsilon }_Q+k_2{\epsilon }_J]-\frac{{\gamma }_1}{D_E}$
${\gamma }_2$	$\frac{\beta {\gamma }_2}{k_1{D}_Q{D}_J{\alpha }_L}[D_Q{D}_J{\epsilon }_E+{\gamma }_1{D}_J{\epsilon }_Q+(k_1{D}_Q+k_2{\gamma }_1){\epsilon }_J]-\frac{{\gamma }_2}{D_I}$
${\sigma }_1$	$\frac{\beta {\sigma }_1}{k_1{D}_Q{D}_J{\alpha }_L}[D_Q{D}_J{\epsilon }_E+{\gamma }_1{D}_J{\epsilon }_Q+k_2{\gamma }_1{\epsilon }_J]-\frac{{\sigma }_1}{D_I}$
${\sigma }_2$	$-\frac{\beta {\sigma }_2{\alpha }_J{\epsilon }_J}{D_J{\alpha }_L}$
$k_1$	$-\frac{\beta }{D_J{\alpha }_L}[D_J{\alpha }_E{\epsilon }_E+D_J{\alpha }_Q{\epsilon }_Q+k_2{\alpha }_Q{\epsilon }_J]+\frac{{\gamma }_1+\mu }{D_E}$
$k_2$	$-\frac{\beta k_2{\alpha }_Q}{D_Q{D}_J{\alpha }_L}(D_J{\epsilon }_Q-\mu {\epsilon }_J)$
$d_1$	$\frac{\beta d_1}{k_1{D}_Q{D}_J{\alpha }_L}[D_Q{D}_J{\epsilon }_E+{\gamma }_1{D}_J{\epsilon }_Q+k_2{\gamma }_1{\epsilon }_J]-\frac{d_1}{D_I}$
$d_2$	$-\frac{\beta d_2}{D_J{\alpha }_L}{\alpha }_J{\epsilon }_J$