  We consider a nonautonomous eco-epidemiological model with general functions
for predation on infected and uninfected preys as well as general functions
associated to the vital dynamics of the susceptible prey and predator
populations. We obtain persistence and extinction results for the infected prey
based on assumptions on systems related to the dynamics in the absence of
infected preys. We apply our results to eco-epidemiological models constructed
from predator-prey models existent in the literature. Some illustrative
simulation is undertaken.
