Table 2.

Description of the system parameters

Parameters	Description
$\alpha$	Temporary immunity rate
${\beta }_1$, ${\beta }_2$	The contact and infection rate of transmission per contact from infected class
$\chi$	Probability of transmission per contact from exposed individuals
${\theta }_1$, ${\theta }_2$	Transition rate of exposed individuals to the infected class
${\gamma }_1$, ${\gamma }_2$	Recovery rate of symptomatic infected individuals to recovered
$\phi$	Rate of infectious with symptoms to hospitalized
$\varphi$	Recovered rate of quarantined infected individuals
$\lambda$	Rate of the quarantined class to the recovered class
${\rho }_1$, ${\rho }_2$	Transition rate of quarantined exposed between the quarantined infected class and the wider community
$\Lambda$	External input from the foreign countries