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Table 7 Numerical results for piecewise constant values of \(\alpha\)

From: The impact of travelling on the COVID-19 infection cases in Germany

Parameter

Mean value

\(\sigma\) of Metropolis

\(\psi\) of PACI

\(\psi\) of SACI

\(\beta\)

\(5.09 \times 10^{-2}\)d\(^{-1}\)

\(0.12\times 10^{-2}\)d\(^{-1}\)

\(0.002\times 10^{-2}\)d\(^{-1}\)

\(0.06\times 10^{-2}\)d\(^{-1}\)

\(\delta\)

\(4.94 \times 10^{-1}\)

\(0.08 \times 10^{-1}\)

\(0.007 \times 10^{-1}\)

\(0.19\times 10^{-1}\)

\(\mu\)

\(5.34 \times 10^{-3}\)

\(0.10\times 10^{-3}\)

\(0.004\times 10^{-3}\)

\(0.11\times 10^{-3}\)

\(\tau\)

\(2.58 \times 10^{1}\)d

\(0.06 \times 10^{1}\) d

\(0.01 \times 10^{1}\) d

\(0.34 \times 10^{1}\) d

\(E_0\)

\(2.45 \times 10^3\)

\(0.03\times 10^3\)

\(0.003\times 10^3\)

\(0.07\times 10^3\)

\(\alpha _0\)

2.23

0.05

0.002

0.06

\(\alpha _1\)

2.45

0.05

0.008

0.02

\(\alpha _2\)

3.14

0.05

0.004

0.11