|
ι
i
I
|
infectivity of species i in stage I
|
0.00000023
|
N/A
|
[12]
|
|
ι
i
L
|
infectivity of species i in stage L (subclinical)
|
0.000000115
|
N/A
|
[8]
|
|
ι
i
C
|
infectivity of species i in stage C (carrier infectivity)
|
0.000000115
|
N/A
|
[12]
|
|
s
4
s
|
susceptibility of susceptible stage feedlot cattle
|
5.0
|
N/A
|
[19–21]
|
|
s
i
s
|
susceptibility of animals besides feedlot in stage S
|
22.5
|
N/A
|
[21]
|
|
r(X)
|
1/measure of density of animals in county
| |
N/A
|
USDA [1]
|
|
a
|
constant of proportion for contact rate
|
5
|
N/A
|
N/A
|
|
β
ij
mn
|
transmission rate from type j in stage n to type i in stage m
| |
N/A
|
[6, 17, 18, 21]
|
|
r
Vs
|
reduced susceptibility of vaccinated susceptible animals
|
0.5
|
N/A
|
[22–24]
|
|
r
Ve
|
reduced infectivity of vaccinated quiescent infected animals
|
0.5
|
N/A
|
[24, 25]
|
|
λ
L
|
rate of progression from latent to infectious stage (1/residency time in stage)
|
1/4.5 days
|
3-6
|
[26, 27]
|
|
λ
C
|
rate of progression from carrier to recovered
|
1/698.75 days
|
120-1277.5
|
[28]
|
|
λ
I
|
rate of progression from infectious to recovered
|
1/6 days
|
4-8
|
[8, 28]
|
