Parameters	Description	Unit
$\mathit{p}$	Intrinsic growth rate	day−1
$\mathit{q}$	Carrying capacity of the susceptible individuals	Human/area
$\mathit{\lambda }$	Disease transmission rate between susceptible and infected individuals	day−1
${\mathit{k}}_1$	Saturation constant	Cell/ml
$\mathit{\psi }$	Natural death rate	day−1
${\mathit{\alpha }}_1$	Vaccination rate of susceptible population	day−1
${\mathit{\alpha }}_2$	Death rate due to disease	day−1
${\mathit{\beta }}_1$	Immunity loss coefficient of vaccinated individuals	day−1
${\mathit{\beta }}_2$	Recovery rate of infected individuals	day−1