We don't have a bunny problem here. When they come around, they usually become dinner for something pretty soon. Chickens too. I still miss the feral chickens that used to hang around here. We do have squirrels, however. Pets disappearing has been a frequent problem in the subdivision. When the pet isn't found and no no body is found, it's usually larger dogs or some other predator, such as foxes or large cats...bobcats, maybe.