Symbol

Description

$D_S\left(t\right)$

Number of susceptible deer at time t

$D_I\left(t\right)$

Number of infected deer at time t

$D_N\left(t\right)$

Total deer population at time t

${\beta }_D$

Infection rate (deer)

${\lambda }_D$

Birth rate (deer)

$\rho$

Harvest rate

${\mu }_D$

Death rate (deer), density independent

${\mu }_{2D}$

Death rate (deer), density dependent

$d_S$

Net flux rate, susceptible deer

$d_I$

Net flux rate, infected deer

${\gamma }_D$

Pathogenic induced death rate (deer)

${\delta }_S$

Probability of death per unit of time of a susceptible deer during migration

${\delta }_I$

Probability of death per unit of time of an infected deer during migration

$M_S\left(t\right)$

Number of susceptible midges at time t

$M_I\left(t\right)$

Number of infected midges at time t

$M_N\left(t\right)$

Total midge population at time t

${\beta }_M$

Infection rate (midges)

${\lambda }_M$

Birth rate (midges)

$\sigma$

Efficacy rate of midge control measures

${\mu }_M$

Death rate (midges), density independent

${\mu }_{2M}$

Death rate (midges), density dependent