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Theory and Modern Applications

Table 1 Description of the parameters used in model (2)

From: Fuzzy fractional-order model of the novel coronavirus

Notation

Parameters description

Numerical value

\(\tilde{n}_{k}\)

Birth rate

1

\(\tilde{m}_{k}\)

Death rate of infected population

\(\frac{1}{(76.79\times 365)}\)

\(\tilde{b}_{k}\)

Transmission coefficient

0.05

\(\tilde{b}_{l}\)

Disease transmission coefficient

0.001231

\(\tilde{\omega }_{k}\), \(\tilde{\omega }'_{k}\)

Signified incubation period

0.001243, 0.05

\(\tilde{\gamma }_{k}\), \(\tilde{\gamma }'_{k}\)

Recovery rate of \({\mathcal{I}}_{k}\), \({\mathcal{A}}_{k}\)

0.09871, 0.0854302

ξ̃, η̃

Influence of virus from \({\mathcal{I}}_{k}\) and \({\mathcal{A}}_{k}\) to \({\mathcal{M}}_{k}\)

0.0398, 0.01

ν̃

Amount of asymptotic infection

0.1243

κ̃

Transmissibility multiple

0.02

η̃

Elimination rate of virus from \({\mathcal{M}}_{k}\)

0.01

\(\mathcal{Y}_{0}\)

Initial value of susceptible

220 million

\(\mathcal{I}_{0}\)

Initial value of infected

0.015 million

\(\mathcal{V}_{0}\)

Initial value of exposed

100 million

\(\mathcal{A}_{0}\)

Initial value of asymptotically infected

0.60 million

\(\mathcal{R}_{0}\)

Initial value of recovered

0 million

\(\mathcal{M}_{0}\)

Initial value of reservoir

0.1 million