Table 1.

The estimated values with physical meaning of the model parameters.

Parameter	Physical meaning	Value taken in days	Reference
$\Delta$	birth rate	$N\left(0\right)\times d$	Estimated
$d$	natural mortality rate	$1/(67.7\ast 365)$	[29]
$d_1$	death rate caused due to infection	0.022	[2]
${\gamma }_1$	recovery/removal rate in $I_S$ compartment	0.4958	Fitted
${\gamma }_2$	recovery/removal rate in $I_A$ compartment	0.1110	Fitted
$\beta$	disease transmission rate	0.6022	Fitted
${\beta }_1$	infection transmission probability relative $I_A$ class	0.7459	Fitted
$\kappa$	incubation period	0.5171	Fitted
$\eta$	proportion of exposed people join $I_A$ class	0.8833	Fitted
${\omega }_V$	vaccine rate	0.0313	Fitted
${\psi }_V$	vaccine waning/loss of immunity	0.0233	Fitted