Table 1 Parameter definitions and values for the disease transmission component of the within-herd BVDV simulation model

M

Calf protected by maternal antibodies

-

-

S

Susceptible animal

-

-

TI

Transiently infected animal

-

-

PI

Persistently infected animal

-

-

R

Recovered or immune animal

-

-

ω

Duration of maternal immunity (days)

183

[52]

P _inf

Probability of infection (per day)

Eq. 2

[53]

β ₁

Within-group transmission rate from PI animals (per day)

0.5

[54]

β ₂

Within-group transmission rate from TI animals (per day)

0.03

[54]

β ₃

Between-group transmission rate from PI animals (per day)

0.1

[54]

γ

Recovery period for TI animals (days)

10

[52]

α _e

Probability of abortion during early gestation

0.80

[53]

α _m

Probability of abortion during mid-gestation

0.25

[53]

θ _PI

Probability giving birth to PI if infected during mid-gestation

0.934

[53]

θ _M

Probability giving birth to M if infected during mid-gestation

0.033

[53]

θ _R

Probability giving birth to R if infected during mid-gestation

0.033

[53]