Table 1.

Model’s variables and parameters explanation.

Variable	Interpretation
$N$	Total population of humans
$S$	Unvaccinated susceptible humans
$V$	Vaccinated susceptible humans
$E$	Exposed humans
$I$	infectious humans
$H$	Hospitalized humans
$R$	Recovered humans
Parameter
$\pi$	Recruitment rate
$\mu$	Natural death rate
$\eta$	Vaccination rate
$\varphi$	Vaccine waning rate
$\epsilon$	Infection reduction rate of vaccinated humans
${\beta }_i$	Transmission rate from $I$
${\beta }_h$	Transmission rate from $H$
$\sigma$	Progression rate
$\omega$	Hospitalization rate
${\delta }_i,{\delta }_h$	COVID-19 induced death rate
${\theta }_i,{\theta }_h$	Fraction of newly born babies who are infected with COVID-19
${\tau }_i,{\tau }_h$	Recovery rates
$k$	Loss of immunity rate