Research Article

Global Dynamics and Applications of an Epidemiological Model for Hepatitis C Virus Transmission in China

Table 1

Parameters and initial data chosen for the simulation.

Variable and parameter Description Initial or default values Source

Variables
Susceptible populationLS
Exposed population 4187LS
Acutely infected population 151360LS
Chronically infected populationLS
Treated population 50000LS
Recovered population with partial immunityLS
Parameters
Recruitment rate year−1 See text
Natural death rate 0.007 year−1 [18, 24]
Transmission rate of acutely infected population LS
Transmission rate of chronically infected population LS
Transmission rate of treated population LS
Rate of progression to acute stage from the exposed 6 year−1 [18]
Recovery rate for the acute state 0.5 year−1 [15]
Rate of moving from acute stage to chronic stage 4 year−1 [18]
Treatment rate of acutely infected population 0.1545 year−1 see text
Treatment rate of chronically infected population 0.04 year−1 [15]
Treatment cure rate 0.67 year−1 [15]
Treatment failure rate 0.82 year−1 [15]
HCV induced death rate at the chronic stage 0.001 year−1 [18]
Rate of waning immunity 0.025 year−1 [15]

LS, least square.