Exploring the Effects of Prescribed Fire on Tick Spread and Propagation in a Spatial Setting

Table 1

Description of the variables and parameters for model (8).

Parameter	Meaning	Value	Reference
	Birthrate of mice	0.02	[30]
	Death rate of mice	0.01	[30]
	Probability of infection in mice	0.9	[37]
	Carrying capacity for ticks	5000	[31]
	Birthrate of ticks	456.36	[30]
	Death rate of eggs	0.0025	[30]
	Death rate of larvae	0.015	[30]
	Death rate of nymphs	0.015	[30]
	Death rate of adults	0.015	[30]
	Probability of infection in ticks	0.9	[37]
	Attack rate of ticks on mice	0.002	Assumed
	Rate at which eggs develop into larvae	0.00677	[30]
	Rate at which larvae develop into nymphs	0.00618	[30]
	Rate at which nymphs develop into adults	0.00491	[30]
	Proportion of eggs reduced following a high- or low-intensity burn	1	[25]
	Proportion of larvae reduced following a high- or low-intensity burn	0.7421, 0.2593	[25, 38]
	Proportion of nymphs reduced following a high- or low-intensity burn	1, 0.7778	[25, 38]
	Proportion of adults reduced following a high- or low-intensity burn	0.5454, 0.9629	[25, 38]
	Proportion of mice reduced following a high- or low-intensity burn	0.4728	[25]
	Diffusion coefficient for mice	2, 0.5	Assumed
	Diffusion coefficient for adults	4, 1	Assumed