Parameter
Description
Value
Source
Size of total bird population
50
Assumed
Size of total tick population
100
Assumed
Susceptible bird population at time t
100
Assumed
Susceptible tick population at time t
100
Assumed
Exposed bird population at time t
80
Assumed
Exposed tick population at time t
80
Assumed
Infectious bird population at time t
80
Assumed
Infectious tick population at time t
80
Assumed
Recovered birds at time t
60
Assumed
The rate an infected adult female tick reproduces
3.68 × 10−4
[7]
The rate at which a tick bites and infects a bird
2 × 10−4
[7]
The rate at which birds are infected through ingested faeces
0.05
[7]
The rate a tick bites a bird and become infected
1.95 × 10−3
[7]
The rate of non-viraemic transmission between co-feeding ticks
3.9 × 10−7
Assumed
Rate of progression from exposed to infectious class among the bird
0.182
[17]
Rate of progression from exposed to infectious class among the tick
0.182
[17]
d
Natural death rate of birds
0.087
[7]
Disease induced death rate of birds
0.2
[7]
Rate of recovery for birds
1.25
[7]
Death rate of tick
0.083
[7]
Effort to reduce the number of exposed birds
0.02
Assumed
Measures the rate of treatment of the infected birds
0.01
Assumed
Effective tick control measure
0.05
Assumed
Per capita birth rate of bird
8.33
[7]
Per capita birth rate of tick
0.167
[7]