Ladobe,
How 'bout a good, strong slingshot w/ steel (or lead) balls? Aught to put the smarts to the varmints!
Back to rabbits: They have a cycle, usually 7 - 10 years. You don't see them at the beginning of the cycle. After 5 years or so you see them occasionally. Towards the end of the cycle they are everywhere. They eat everything consumable until there is very little feed left, then they are stressed by starvation, disease comes in and wipes them out and the cycle starts all over.
When I was in Fairbanks the snowshoe hare population peaked around the winter of 1973. There were bunnies all over the place. Anytime you went out in a car you were going to hit at least one, and the Richardson Highway was paved with little carcasses. The following spring it was over. You couldn't find a hare if your life depended on it. The willow bushes had green tops, but if you squatted down you could see a long ways because the branches had been nibbled off as high as the bunnies could reach from the top of the snow.
The following year we had wolves coming in to town eating dogs and cats, since their mainstay had died off. I even heard reports of lynx doing so, but those were second hand and I don't know how true they were.
-WH-