Ecological Archives A012-010-A1

Eric M. Schauber and Richard S. Ostfeld. 2002. Modeling the effects of reservoir competence decay and demographic turnover in Lyme disease ecology. Ecological Applications 12:1142-1162.

Appendix A. State constants, variables, and parameters used in the yearly model of Lyme disease epizootiology.

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



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