Table 1 Discription of parameter for model (10).

\( \beta \)

The number of peoples who have been quarantined because they are susceptible is increasing.

   0.0002¹⁷

\( \omega \)

Transition from sensitive to exposed peoples at a rapid rate

   0.002¹⁷

\( \gamma \)

The rate at which exposed individuals are transferred to quarantine.

\(2.0138 \times 10^{-4}\)¹⁷

m

Proportion of susceptible people who have been vaccinated.

   0.5¹⁹

\( \beta _{2} \)

High rates of moving people from the quarantined group to the symptomatic infected group.

\(3.2084 \times 10^{-4}\)¹⁷

p

Vaccinated people’s disease exposure rate.

   0.08¹⁷

\( \beta _{1} \)

Quarantined people to asymptomatic infected people ratio.

   0.0101

\( \zeta \)

Natural death rate.

   0.009¹⁹

\( \alpha \)

Recovery rate of exposed individuals.

   0.05¹⁹

\( \delta \)

Disease-related mortality.

   0.25¹⁷

\( r_{1} \)

Recovery rate of asymptomatic infected individuals.

   0.012¹⁷

\( r_{2} \)

Recovery rate of symptomatic infected individuals.

   0.012

\( r_{3} \)

Recovery rate of symptomatic infected individuals who are in hospitalized.

   0.072

\( h_{1} \)

Transfer rate of symptomatically infected individuals to hospital.

\(3.2084 \times 10^{-4}\)¹⁷

\( h_{2} \)

Proportion of hospitalized people who have been injected by booster dose.

   0.021¹⁷