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Table 3 Parameter sets with corresponding characteristics of the ten best-fit simulations for the 2008–2009 influenza season

From: Data-driven interdisciplinary mathematical modelling quantitatively unveils competition dynamics of co-circulating influenza strains

Set

Parameters

Characteristics

 

R a0max

R a0min

RF b Z

CC c Y

I Y peak (day)d

I Z peak (day)e

I Z max/I f Y max

I Y *I Z (day)g

Correlation coefficient (%)

R heZ

R ieY\Z

1

2.00

1.61

1.00

0.71

167

307

21.93

210

96.96

1.65

0.75

2

2.00

1.61

1.00

0.72

167

307

21.95

209

96.96

1.65

0.75

3

2.00

1.61

1.00

0.73

167

307

21.98

209

96.95

1.65

0.75

4

2.01

1.61

1.00

0.67

167

307

21.81

213

96.95

1.65

0.75

5

2.00

1.61

1.00

0.74

167

307

22.00

208

96.95

1.65

0.75

6

2.01

1.61

1.00

0.68

167

307

21.84

213

96.94

1.65

0.75

7

2.00

1.61

1.00

0.75

167

307

22.02

207

96.94

1.65

0.75

8

2.01

1.61

1.00

0.69

167

307

21.87

212

96.94

1.65

0.75

9

2.01

1.61

1.00

0.70

167

307

21.90

211

96.93

1.65

0.75

10

2.01

1.61

1.00

0.71

167

307

21.93

210

96.92

1.65

0.75

GM

         

1.65

0.75

GSD

         

1.00

1.00

  1. 13965 simulations were performed with the parameters R 0max, R 0min, RF Z , and CC Y set within each specified range. 10 best-fit simulations were selected based on the correlation coefficient between the simulated epidemic curve and the observed weekly A/H1N1 IVIR curve. Pearson method was used to estimate the correlation coefficient
  2. GM geometric mean, GSD geometric standard deviation
  3. a R 0max and R 0min defined the range of the basic reproductive number [25]
  4. b RF Z represented relative fitness of clade Z
  5. c CC Y represented competition cost of clade Y
  6. d I Ypeak denoted the peak day of clade Y epidemic which was manifested by the infectives of clade Y
  7. e I Zpeak denoted the peak day of clade Z epidemic which was manifested by the infectives of clade Z
  8. f I Zmax /I Ymax denoted the height ratio of clade Z epidemic to clade Y epidemic
  9. g I Y *I Z denoted the crossing day of clade Z epidemic with clade Y epidemic
  10. h R eZ estimated the annual effective reproductive number of clade Z
  11. i ReY\Z estimated the annual effective reproductive number of clade Y in the presence of clade Z