We have the same cycles with wolves/bears and moose/caribou. The herds of caribou get huge, then the wolf and bear population explode, then the caribou and moose drop, then the wolf and bear population drop.
Right now in Anchorage where I live, there are starting to be a lot of bear encounters. Last year quite a few people were mauled and a lot of people saw bears... I'm not sure how long it takes for the population to start waning again, but I'm guessing at least 5-10 years, so if I stop posting all of the sudden, I'm probably in a bears stomach!