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Table 1 Parameters of the model of BTV8 spread in midge and cattle populations

From: Seasonal and spatial heterogeneities in host and vector abundances impact the spatiotemporal spread of bluetongue

Host parameters

Description

Value

References

b H

Birth rate (per day)

6,94.10-4

a

m H

Exit rate (mortality, selling, culling) (per day)

b H

 

1/α I

Duration of viremia (days)

60

[43]

c VH

Probability of transmission from vector to host

0.92

[44, 45]

Vector parameters

Description

Value

References

c HV

Probability of transmission from host to vector

0.15

[46, 47]

n

Biting rate (per day)

0.25

[45]

b V

Fertility rate (per day)

6.1

[45]

m V

Mortality rate (per day)

1/21

[34, 45]

K(t)

Carrying capacity

*

 

k V

Density-dependence mortality rate (per day)

(b V -m V )/K(t)

 

h

Maximum of K(t)

variable

 

d

Duration of favourable period (days)

243

 

Nb

Number of vectors during the unfavourable period

100

 

1/ρ E

Duration of extrinsic incubation period (days)

10

[4, 45]

D

Diffusion coefficient (km2/day)

1,25.10-2

 
  1. * K(t) = 1 [1 ; d] (t)*[ h*sin(| π(365-t)/d|)] + 1 [d+1;365] (t)*Nb.
  2. a: agricultural statistics.