Table 3. Definition and estimates of mange variables and parameters for model metaseir, a stochastic, discrete-time compartment and metapopulation model for mange and population dynamics, applied to San Joaquin kit foxes in Bakersfield, California.

Parameter or variable	Definition	Estimate	Justification
S	Number of susceptible kit fox females	Initialized as N– 9 (# initial cases)	[12]
E	Number of latently infected kit fox females	Initialized as 0
I	Number of infectious kit fox females	Initialized as original # of cases	[12]
R	Number of recovered, immune kit fox females	0	[5, 38]
β	Transmission rate	N/A	estimated when composite β/αβ yields best fit to epidemic history
γ	Recovery rate	0	[5, 38]
ν	Rate of loss of immunity	N/A	[5, 38]
dE	Mortality rate for exposed	assume dE = dS
dI	Mortality rate for infectives	dI = dS + δ
dR	Mortality rate for recovereds	N/A
σ	Average incubation period, 1/σ (day-1)	0.047	1/21 days (3 week incubation)
αβ	Exponential decay rate of transmission over space	N/A	1/αβ ~ mean dispersal distance
Ƙ	Treatment rate	0 but could be applied in future