Table 1 Biological description and values of parameters for HBV model (5).

From: Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm

Parameters

Description

Values

Ref.

\(\Lambda\)

Recruitment rate

2

38

\(\beta\)

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