Table A1.

Model parameters.

Parameter	Description	Value	Units
b	oviposition rate	62.56	eggs per tick per day
$d_e$	daily death rate of eggs	0.015	percent per day
$d_3$	daily death rate of feeding larvae	=0.2	percent per day
$d_{fn}$	daily death rate of feeding nymphs	=0.01	percent per day
$d_{A3}$	daily death rate of feeding adults	0.01	percent per day
$d_{A5}$	daily death rate of gestating adults	0.0351	percent per day
$m_1$	young larvae to questing larvae maturation rate	0.069	percent per day
$m_2$	questing larvae to feeding larvae maturation	0.1	percent per day
$m_3$	larvae feeding on host maturation rate	0.232	percent per day
$m_{n2}$	uesting nymph maturation rate	0.1	percent per day
$m_{fn}$	feeding nymph maturation rate	0.142	percent per day
$m_{A2}$	questing adult maturation rate	0.1	percent per day
$m_{A3}$	feeding adult maturation rate	0.1058	percent per day
C	per host carrying capacity	50	maximum feeding nymphs and adults per host
$b_H$	birth rate of host	0.0135	per dog per day
$K_H$	carrying capacity of hosts	2000	number of dogs
$d_H$	death rate of uninfected host	0.0002739726	percent per day
$d_{HI}$	death rate of infected hosts	0.005479	percent per day
$p_{UI}$	probability of host infection by one feeding tick	0.0001	per infective tick per day
$p_L$	percent of feeding larvae infected	0.1	percent per day
$p_N$	percent of feeding nymphs infected	0.1	percent per day
$ϵ$	numerical feature	0.01	no units