  Using Mickens nonstandard method, we obtain a discrete family of
nonautonomous eco-epidemiological models that include general functions
corresponding to the predation of the infected and uninfected preys. We obtain
results on the persistence and extinction of the infected preys assuming that
the bi-dimensional predator-prey subsystem that describes the dynamics in the
absence of the infection satisfies some assumptions. Some examples and
simulations are undertaken to illustrate our results.
