Table 6.

The parameters in Eq. (30)

Parameters	Description	Units
${\pi }_S$	Birthrate of susceptible	$\text{person}/\text{day}$
$\gamma$	Daily fractional self-clearance rate	${\text{day}}^{-1}$
$\mu$	Natural death rate	${\text{day}}^{-1}$
${\mathit{\mu }}_{\mathit{E}}$	Virulence (Infected death rate of early-stage infected population)	${\mathbf{day}}^{-1}$
$\omega$	Transfer rate into late-stage infection	${\text{days}}^{-1}$
$\tau$	Rate of entering treatment	${\text{day}}^{-1}$
${\pi }_N$	Birthrate of uninfected needles	$\text{needles}/\text{day}$
$ϵ$	Decay rate of HCV infection in needles	${\text{days}}^{-1}$
$k_u$	Discard rate of uninfected needles	${\text{day}}^{-1}$
$k_i$	Discard rate of infected needles	${\text{day}}^{-1}$
$\alpha$	Injection rate times infection of needle probability	$\frac{\text{injections}}{\text{person}.\text{day}}$
$\beta$	Injection rate times infection of host rate	$\frac{\text{injections}}{\text{person}.\text{day}}$
${\mu }_L$	Death rate of late-stage infected population	${\text{day}}^{-1}$

The infected death rate is considered the measure of virulence in the model, and it is highlighted in the table as a row of bold text