Table 2. Parameters and values used in simulations.

Param.	Value	Description
μ	0.005 d−1	Birth rate of capybara [14, 23]
ρSS	2709%	Susceptible larvae production per adult susceptible tick [4]
ρSI	305%	Susceptible larvae production per adult infected tick [4]
ρII	228%	Infected larvae production per adult infected tick [4]
EL	10%	Larval engorgement [4]
αL	0.003 d−1	Attached rate of a larva [4]
θSL	35%	Stage change susceptible larvae [4]
θIL	17%	Stage change infected larvae [4]
αN	0.006 d−1	Attached rate of a nymph [4]
EN	40%	Nymph engorgement [4]
θSN	60%	Stage change susceptible nymph [4]
θIN	60%	Stage change infected nymph [4]
αA	0.009 d−1	Attached rate of an adult [4]
EA	70%	Adult engorgement [4]
λL	9.4×10−5 d−1	Transmission from an infected larvae to a susceptible capybara [11]
λN	0.046 d−1	Transmission from an infected nymph to a susceptible capybara [11]
λA	0.046 d−1	Transmission from an infected adult tick to a susceptible capybara [11]
βL	12%	Transmission from an infected capybara to a susceptible larvae [4, 11]
βN	25%	Transmission from an infected capybara to a susceptible nymph [4, 11]
(1/γ)	10 days	Capybara’s infecion period [5]
γ	0.027 d−1	Recovery rate of capybaras [5]
δC	0.002 d−1	Death rate of capybaras [14]
ϵC	0.003 d−1	Emigration rate of capybaras