Table 1 Parameters and input values used in the baseline scenario.

From: Transmission of highly pathogenic avian influenza in the nomadic free-grazing duck production system in Viet Nam

Description

Parameter

Value

Reference

Within-flock transmission rate parameter

β

Pert(0.5,0.8,1.2)

28

Average duration of the infectious period for an infected duck

r

Pert(2,3,4)

28

Within-flock prevalence of HPAIV H5N1

π

Transmission model

Supplementary Material

Average number of grazing cycles undergone by an infected nomadic FGD flock during its infectious period

gcycle

Transmission model

Supplementary Material

Average number of times ducks from a nomadic FGD flock temporarily escape into a neighbouring flock during a grazing cycle

α

Gamma(20,15)

Field data (F)

Probability that the ducks that are temporarily integrated into the other flock in the field are from the infectious flock

γ

0.5

NA

Average number of ducks that temporarily escape into another flock

n

Pert (1, 5, 20)

NA

Probability that a FGD flock is susceptible to HPAIV H5N1 (i.e. unvaccinated)

s*

0.5

DAH, pers. com.

Probability that an infected duck that has temporarily joined a susceptible flock infects at least one susceptible duck

δ

[0.1 – 0.6]

NA

Probability that a susceptible duck that has temporarily joined an infectious flock becomes infected

ε

[0.1 – 0.6]

NA

Probability that two FGD flocks graze successively on the same rice paddy field during the same production cycle

η

Beta (13, 9)

field data (RPO)

Probability that the infectious FGD flock is the first to visit the rice paddy field

θ

0.5

NA

Probability that a nomadic FGD flock arrives within 7 days after the departure of the previous flock

κ

Beta (9,3)

field data (RPO)

Probability that the susceptible flock becomes infected following exposure to environmental contamination with HPAIV H5N1 in the rice paddy field

λ

[0.1 – 0.6]

NA

Probability that a FGD flock is transported to another grazing site by boat

μboat

Beta (19,4)

field data (F)

Probability that two flocks are transported together in the same boat

ξboat

0.31

field data (T)

Probability that at least one duck from the susceptible FGD flock becomes infected during transport if it is transported together with an infectious flock in the same boat

οboat

[0.6 – 1.0]

NA

Probability at least one duck from the susceptible FGD flock becomes infected during transport if the boat is contaminated

τboat

[0.2 – 0.6]

NA

Time period the transportation vehicle remains infectious

infboat

min(surv, tcdboat)

NA

Average number of daily journeys for boats

σboat

1.325

field data (T)

Average number of flocks transported per boat journey

φboat

1.31

field data (T)

HPAIV H5N1 environmental survival in a transport vehicle (days)

surv

Pert(2,5,7)

Adapted from19

Average length of time until the next cleaning and disinfection of a boat (days)

tcdboat

0.5*ρboat

NA

Average duration between two cleaning and disinfection events of vehicle (days)

ρboat*

30

field data (T)

Probability that a FGD flock is transported to another grazing site by truck

μtruck

Beta (10,36)

field data (F)

Probability that two flocks are transported together in the same truck

ξtruck

0.31

field data (T)

Probability at least one duck from the susceptible FGD flock becomes infected during transport if it is transported together with an infectious flock in the same truck

οtruck

[0.6 – 1.0]

NA

Probability at least one duck from the susceptible FGD flock becomes infected during transport if the truck is contaminated

τtruck

[0.2 – 0.6]

NA

Time period the transportation vehicle remains infectious

inftruck

min(surv, tcdtruck)

NA

Average number of daily journeys for trucks

σtruck

3

field data (T)

Average number of flocks transported per truck journey

φtruck

1.31

field data (T)

Average length of time until the next cleaning and disinfection of a truck (days)

Tcdtruck

0.5*ρtruck

NA

Average duration between two cleaning and disinfection events of vehicle (days)

ρtruck*

10.6

field data (T)

  1. Field data are unpublished data derived from field interviews; RPO = rice paddy owner; F = nomadic free grazing duck flock farmer; T = nomadic free-grazing duck flock transporter; NA = not applicable; parameters with an asterisk were given fixed values to simplify the comparison between the alternative control strategies.