Do they not have a coyote hunting season. We do in Arkansas. Plus anyone can get a deprivation permit and shoot them year round.
A lot of places there aren't seasons. They are varmits, and are legal year round.
In Arizona, there is a year-round season on coyotes and no bad limit in most of the state. The AZ Fish and Game website say hunters take about 13,000 coyotes every year.
If their numbers get too high, they do become a problem.