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Theory and Modern Applications

Table 2 Model parameters calibration by using the mentioned scheme

From: A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives

Parameters

Probable range

Base value

TRR output

Reference

β

0.5–1.5

0.5

1.2757

Fitted

\(\sigma _{1}\)

0.001–0.1

0.03

0.01

Fitted

\(\sigma _{2}\)

0.1–0.9

0.3

0.3488

Fitted

\(\sigma _{3}\)

0.1–0.9

0.3

0.6917

Fitted

\(r_{1}\)

0.1–0.9

0.5

0.302

Estimated

\(r_{2}\)

0.1–0.9

0.5

0.302

Estimated

\(r_{3}\)

0.1–0.9

0.5

0.2227

Estimated

\(r_{4}\)

0.1–0.9

0.5

0.3172

Estimated

\(\delta _{a}\)

0.001–0.1

0.01

0.1

Fitted

\(\delta _{q}\)

0.001–0.1

0.01

0.09

Fitted

\(\delta _{h}\)

0.001–0.1

0.01

0.0998

Fitted

p

0.0005–0.1

0.05

0.00051

Estimated

η

0.4–0.6

0.5

0.5077

Fitted

c

0.001–0.1

0.005

0.0155

Estimated

γ

1/14–1/3

1/5.1

0.1673

Fitted

ϵ

0.1–0.99

0.7

0.8417

Estimated

q

0.001–0.5

0.2

0.1181

Estimated