Good info Chanumpa. I just think that Coyote gets a bad rap. He is a beautiful intelligent animal that deserves more respect the just random killing. Foxes, coons, Bobcats, skunks, weasels, hawks, eagle, owls and not to mention feral cats and dogs do plenty of killing, but most of the pop. issues get blamed on Coyote. I agree in hunting and trapping them. I just could never hate them.
As far as rabbits go I would say that it has always been up and down for the populations, they natuarully cycle high and low, with or with out coyotes.