Table 2 Fixed parameter values for the population \(N_j\) as well as the (estimated) number of Germans travelling to the respective country j, namely \(T_{\text {Germany}\leftrightarrow j}\), per month in summer 2020 and the transmission parameters \(\beta _{j,1/2}\) by application of Eq. (4)

2.88

945

3366

9505

1.20

1.19

8.90

312,364

636,414

782,818

1.35

1.36

9.45

1595

1985

3102

0.38

0.65

11.51

36,210

155,295

92,495

1.17

1.60

3.30

2811

2849

6702

1.54

1.10

211.05

6715

4366

3778

1.22

1.12

6.95

11,562

42,552

74,363

1.24

1.06

37.41

4746

9778

8368

0.31

1.33

1433.78

3711

5921

7077

1.55

1.05

4.06

66,029

84,952

150,790

0.31

1.10

0.89

360

7191

14,049

0.42

1.89

10.69

51,518

130,651

148,353

0.84

1.41

5.81

48,986

395,924

571,649

0.77

1.70

100.39

2542

5134

7790

0.65

0.36

1.33

1006

3380

5967

0.23

2.00

112.08

1431

2089

2066

1.84

1.45

5.53

4624

12,134

19,074

0.31

1.74

67.20

105,905

326,298

345,913

0.95

1.96

10.7

15,930

179,531

372,892

1.41

1.75

9.77

30,154

53,080

71,577

0.36

1.71

0.34

889

7892

13,718

1.66

1.56

4.97

4892

8965

9065

0.43

2.20

1366.42

5168

8676

14,046

1.39

1.25

88.52

2455

2693

797

1.65

1.23

60.29

126,855

272,324

415,581

0.21

1.75

126.86

1457

2340

3292

1.78

1.29

1.72

586

7341

18,626

1.59

1.10

1.91

5936

12,637

20,798

0.31

1.52

6.87

167

1699

5298

1.09

1.94

2.79

1203

1787

2415

0.49

1.89

0.63

4562

4466

2946

2.54

0.51

0.51

261

9338

16,974

1.16

1.95

127.58

2079

2726

2253

1.70

0.69

0.63

728

2490

4118

3.75

0.54

4.04

972

1728

3815

0.85

1.30

17.40

188,840

721,721

1,592,831

1.04

1.72

2.08

0

3486

9875

0.89

1.02

5.37

8326

42,589

64,125

0.74

1.70

27.94

95,372

171,127

268,559

0.52

1.51

10.29

17,659

63,369

111,867

0.51

0.81

2.83

6063

8336

6747

0.79

1.00

19.36

5702

32,822

41,255

1.18

1.35

145.87

3550

6017

7324

0.61

1.03

8.77

5164

5577

9672

1.62

0.61

5.46

19,372

31,161

56,401

1.16

1.54

2.07

3759

5361

5987

1.44

1.14

47.32

22,209

331,894

436,624

1.19

1.86

10.32

9050

39,584

46,878

0.38

0.55

8.50

102,698

272,121

388,971

1.49

1.35

11.69

644

2709

11,292

1.09

2.12

83.43

36,986

144,350

343,972

0.77

1.14

66.43

17,026

29,925

32,969

0.92

1.16

43.99

3020

8934

14,759

0.77

1.44

329.06

24,123

42,409

41,613

0.81

1.62

9.77

3231

9394

6856

0.59

1.10