STATE CONSTANTS |
|
N |
density of blacklegged tick nymphs |
Hi |
density of host species i |
PN |
proportion of nymphs that successfully feed in a year |
PNi |
proportion of nymphs that successfully feed on host species i in a year |
YEARLY VARIABLES |
|
t |
proportion of nymphs infected with B. burgdorferi in year t |
it |
risk of a host of species i being infected via a nymphal bite in year t |
it |
infection prevalence of host species i in year t |
Sit |
specific infectivity of host species i in year t |
SHORT-TERM VARIABLES |
|
Li[x] |
reservoir competence of a host individual of species i at time x after last infection |
i[x] |
proportion of host species i infected at time x of the nymphal activity period |
PARAMETERS |
|
Ni |
rate at which nymphs encounter and successfully attach to hosts of species i |
Li |
rate at which larvae encounter and successfully attach to hosts of species i |
Ni |
probability of transmission from a biting infected nymph to a host of species i |
Li |
constant reservoir competence of host species i to infect biting larvae |
max,i |
maximum reservoir competence of host species i with reservoir decay |
i |
exponential reservoir decay rate of host species i, scaled to the period of nymphal activity |
i |
duration of infectivity of host species i, scaled to the period of nymphal activity, in abrupt‑loss formulation of reservoir decay |
i |
demographic turnover rate of host species i, scaled to the period of nymphal activity |