  We address the question of an averaging principle for a general class of
multi-scale hybrid predator-prey models. We consider prey-predator models where
the kinetic of the prey population, described by a differential equation, is
faster than the kinetic of the predator population, described by a jump
process, the two dynamics being fully coupled. An averaged model is obtained
and compared to the original slow-fast system in term of probability and
absorption time.
