Parameters/Variables

Description

S

Individuals who are susceptible

E

Individuals who are exposed (newly infected but not infectious)

Is

Individuals who have developed symptoms and are infectious

Ia

Individuals who are asymptomatic

H

Individuals who are admitted in hospital with the disease

Q

Individuals who are infectious and are quarantined

R

Individuals who recover from the disease

Θ

Recruitment rate

ρ s

Contact rate with the symptomatic class

ρ a

Contact rate with the asymptomatic class

κ

Fraction of individuals who use face masks

ω

Expected decrease in the risk of infection as a result of using face masks

σ

Progression rate of the exposed to the infectious classes

q

Fraction of the exposed who showed no symptoms

( 1 q )

Fraction of the exposed who showed symptoms

π

Progression rate of the symptomatic to hospital

γ

Quarantine rate of the symptomatic

ξ

Recovery rate of the symptomatic

τ

Recovery rate of the asymptomatic

ε

Progression rate of the quarantined to the hospital

ν

Recovery rate of the quarantined

β

Recovery rate of the hospitalized

δ

The natural death rate

α 1 , α 2 , α 3 , α 4

The disease induced death rates for the symptomatic, hospitalized, Asymptomatic and quarantined individuals respectively