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Table 1 Model parameters and their values [6].

From: Effects of vaccination and population structure on influenza epidemic spread in the presence of two circulating strains

Parameter

Value

Parameter

Value

τ

3.5 d-1

p V 12

0.3

δ A

0.142

p V 21

0.06

δ12= δ21 (δ)

0≤δ≤1

µ

0.244 d-1

δV1

0.8

µ A

0.244 d-1

δV2

0.9

σ1

0.8

p

0.6

σ2

0.4

p12, p21

0.3

d

0.002 d-1

p V1

0.12

d A

0.002 d-1

p V2

0.36

T*

10d, 60d

  1. The values used in the simulations reported here correspond to those reported in [23, 24] for influenza. See Section 2 and Appendix for descriptions of parameters. Although data pertain to mean field (homogeneous) models, a correspondence between these and network models of this paper - see Appendix - enables one to apply these parameters to the latter type of model. In particular, a relationship between the transmission coefficient of the mean field model, β, and the baseline transmission rate τ between individuals in contact, enables one to assign a value to τ via the mean field expression for the basic reproductive number R0, as described in the Appendix. For the simulations, with pre-vaccination rate V0 = 0.2, a value R0 = 1.9 was assumed, representative of seasonal influenza and close to the value R0 = 1.8 used in [25]. Without vaccination, the corresponding value of R0 would be 2.34 (see Table 5).