[KegRiver]

Seriously.

It is next to impossible to wipe out a Coyote population.

In the 1950s a Radies epedemic spread across Northern Alberta. The governmetn respnded by handing out Strycnine to anyone who would use it.

Up to then there had been huge numbers of Fox and Coyote, Wolves, Marten, Fisher, and Mink were plentiful.

When it was all over there were no Fox, it took them over twenty years to start to make a comeback. There were no Fisher or Marten either, they came back before the Fox but even then it took years.

A few wolves survived and the Mink were uneffected so far as I could tell.

Even though thousands of Coyotes were poisoned, it seemed to make no differance to the population. They were there through it all and just as pentiful after the last bait was gone then before it all started.

My guess is that your Coyotes have found a better food source away from where you are trapping.
A few will always remain. But many will move to take advantage of a new or better food source.