There is a year-round bounty on coyotes in many counties in Virginia.
Michigan allows nonstop hunting on them. At will. No tags required. And my neighbors are happily out doing just that now and then.
They keep them so low in numbers that we never see them in this very rural area. We feed a plethora of wildlife, including a fox and the barn cat from down the road. Had a few grouse in our tree the other day. Lots of potential food for coyote is present and accounted for here, thanks to the love of hunting and our great neighbors.
All it takes is a hunting culture set free. So sad for those poor dogs and cats that ended up as coyote food.