Table 1 Biological description and values of parameters for HBV model (5).
Parameters | Description | Values | Ref. |
|---|---|---|---|
\(\Lambda\) | Recruitment rate | 2 | |
\(\beta\) | Transmission rate | 0.042 | – |
\(\phi\) | Adjustment factor for the transmission rate from asymptomatic individuals | 0.002 | – |
\(\mu\) | Natural death rate | \(\frac{1}{67.7}\) | – |
\(\epsilon\) | Adjustment factor for the transmission rate from individuals with chronic infection | 0.002 | – |
\(\psi\) | Rate at which exposed individuals become infected or asymptomatic | 0.004 | – |
\(\theta\) | Proportion of exposed individuals who develop symptomatic infection | 0.6 | – |
\(\gamma\) | Recovery rate for symptomatic infected individuals | 0.001 | – |
\(\eta\) | Rate at which infected individuals progress to chronic infection | 0.02 | – |
\(\kappa\) | Death rate for symptomatic infected individuals | 0.02 | – |
\(\tau\) | Rate at which asymptomatic individuals progress to chronic infection. | 0.002 | – |
\(\nu\) | Recovery rate for individuals who are asymptomatic | 0.1 | – |
\(\varepsilon\) | Death rate of chroniclly infected | 0.003 | – |
\(\sigma\) | Recovery rate for individuals with chronic infection | 0.2 | – |
\(\delta\) | Rate at which chronically infected receive treatment | 0.1 | Assumed |
\(\varrho\) | Recovery rate for individuals undergoing treatment | 0.01 | Assumed |
\(\omega\) | Failure of treatment | 0.02 | Assumed |
\(\zeta\) | Rate at which asymptomatic individuals receive treatment | 0.001 | Assumed |