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Theory and Modern Applications

Table 1 Parameters of the disease model and their meanings

From: A fractional order approach to modeling and simulations of the novel COVID-19

Parameter

Range (Sources)

Default value

β (transmission rate)

2.1011 × 10−8–9.11 × 10−8 [49, 50]

3.511 × 10−8 day−1

1/m (inverse incubation period)

1/14–1/2 day−1

1/7 day−1

ω (fraction of infected individuals that do not show symptoms)

0.35–0.4 [48]

0.37

\(\tau _{1}\) (progression rate of asymptomatic individuals to confirmed, depends on contact tracing and testing)

1/20–1/5 day−1 [50, 51]

1/15 day−1

\(\tau _{2}\) (progression rate of symptomatic individuals to confirmed, depends on contact tracing and testing)

1/5–1 day−1 [50, 51]

1/3 day−1

\(\theta _{1}\) (recovery rate, confirmed)

0.11624 day−1 [49]

0.11624 day−1

\(\theta _{2}\) (natural recovery rate)

0.13798 day−1 [49]

0.13798 day−1

γ (disease mortality rate)

1.7826 × 10−5 [49, 50]

1.7826 × 10−5

ρ (transition rate from asymptomatic to symptomatic)

assumed

0.2

S(0) (initial value of the susceptible)

[50]

11,081,000

E(0) (initial value of the expose)

[50]

399

\(I_{1}(0)\) (initial value asymptomatic)

[50]

28

\(I_{2}(0)\) (initial value of symptomatic)

[50]

54

C(0) (initial value of confirmed)

[50]

41

R(0) (initial value of recovered)

[50]

12