Table 1.

Description of the parameters.

Parameter	Description
$d^{\vartheta }$	Death rate of individuals
${\xi }_A^{\vartheta },$${\xi }_{S_P}^{\vartheta }$	Transmission rates to the susceptible population from the asymptomatic and symptomatic populations, respectively
$\frac{1}{{\lambda }^{\vartheta }}$	Incubation period of an exposed individual
$\chi ,$$\left(1-\chi \right)$	Fraction of the exposed population that becomes asymptomatic after the incubation period and the remaining of the population are symptomatic, respectively
${\gamma }_1^{\vartheta },{\gamma }_2^{\vartheta }$	Infectious rates of an asymptomatic and a symptomatic individual, respectively
${\ell }^{\vartheta }$	Recovery rate through hospitalization
${\kappa }_1^{\vartheta },{\kappa }_2^{\vartheta },{\kappa }_3^{\vartheta },{\kappa }_4^{\vartheta }$	Mortality rates of the exposed, asymptomatic, symptomatic and hospitalized populations, respectively