Table 1.

Variables and parameter with their definitions.

Variable	Description	Default value
$S\left(t\right)$	Susceptible human population at time $t$	–
$E\left(t\right)$	Latent individuals at time $t$	–
$I_h\left(t\right)$	Home isolated infected individuals at time $t$	–
$I_c\left(t\right)$	Hospitalized infected individuals at time $t$	–
$R\left(t\right)$	Recovered individuals at time $t$	–
$V\left(t\right)$	Virulence class individuals at time $t$	–
Parameter	Description	Default value
$G$	Constant input of susceptible individuals through birth	To be estimated
$\sigma$	Natural death rate	To be estimated
$n$	Average per capita daily contact	To be estimated
$p$	Probability of disease transmission per contact	To be estimated
$\delta$	Leaving rate from E class	To be estimated
$\omega$	Transfer rate from $I_h$ class to $I_c$ class	To be estimated
${\nu }_1$	Recovery rate of $I_h$ class	To be estimated
$m_1$	Death rate of $I_h$ class	To be estimated
${\nu }_2$	Recovery rate of $I_c$ class	To be estimated
$m_2$	Death rate of $I_c$ class	To be estimated
$u_i$	Control parameter	0 to 1
$(i=1,2,3)$