Table 1.

Description of the model parameters.

Parameter	Description
$\Lambda$	The non-vaccinated susceptible population’s recruitment rate.
${\beta }_1$	Non-vaccinated susceptible population’s infection transmission rate.
${\beta }_2$	Disease transmission rate of dose-1 vaccinated susceptible population.
${\beta }_3$	The disease transmission rate of dose-2 vaccinated susceptible population.
${\alpha }_1$	The rate of dose-1 vaccination given to non-vaccinated individuals.
${\alpha }_2$	The rate of dose-2 vaccination given to dose-1 vaccinated individuals.
${\alpha }_3$	The rate of booster dose vaccination given to dose-2 vaccinated individuals.
$\xi$	The proportion of death in all populations.
$\gamma$	The proportion of the exposed population who are infected without symptoms.
${\delta }_1$	The proportion of the asymptomatic infected population who develop symptoms of the disease.
${\delta }_2$	The recovery rate of asymptomatic infected individuals.
${\sigma }_1$	The recovery rate of symptomatic infected individuals.
${\sigma }_2$	The disease-induced death rate of symptomatic infected individuals.