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Theory and Modern Applications

Table 1 Description of the model parameters and their estimated and fitted values

From: A fractional order mathematical model for COVID-19 dynamics with quarantine, isolation, and environmental viral load

Parameter

Description

Value (in days)

Reference

Λ

Recruitment rate

δ × N(0)

Estimated

δ

Natural death rate

1/(67.7 × 365)

[4]

ω

Incubation period

0.1897

[4]

ρ

Incubation period

0.1305

Fitted

\(\sigma _{1}\)

Infected recovery rate

0.5253

Fitted

\(\sigma _{2}\)

Asymptomatic recovery rate

0.3851

Fitted

\(\eta _{1}\)

Quarantined recovery rate

0.6715

Fitted

\(\eta _{2}\)

Recovery rate of the hospitalized

0.6052

Fitted

τ

Rate of moving from I to H class

0.3061

Fitted

\(\varepsilon _{1}\)

Quarantine rate of exposed individuals

0.2395

Fitted

\(\varepsilon _{2}\)

Hospitalization rate of Q individuals

0.3101

Fitted

\(\varsigma _{1}\)

Infected disease death rate

0.0222

Fitted

\(\varsigma _{2}\)

Hospitalized disease death rate

0.0661

Fitted

\(\zeta _{1}\)

Contact rate

0.6104

Fitted

\(\zeta _{2}\)

Disease transmission coefficient

1.2 × 10−7

Fitted

\(m_{1}\)

Viral contribution to M by I class

0.2157

Fitted

\(m_{2}\)

Viral contribution to M by A class

0.2276

Fitted

\(m_{3}\)

Removal rate of virus from M

0.2276

Fitted

ψ

Transmissibility multiple

0.5856

Fitted