Coyotes are a major carrier of rabies and they should be eradicated as quiuckly as possible.
If you have a problem with coyotes I highly recommend a black lab. My own “rolls” coyotes for fun and they tend to stay away. She looks like a torpedo running through the tall grass when she goes after them and they can’t see her in the night (she knows this.
LOL! I'd love to watch that.
Labs are good for coyotes but for wolves you need a couple of these:
I’ve seen ranchers here in Central Texas keep packs of large guard dogs within their property. That keeps everyone honest, especially coyotes and hogs.
Your lab would be dead meat. Once they know your dog's territory, the coyotes will send out a fast yearling to bait the dog into a chase, right back to the hiding pack. One will turn the dog, while another takes out the Achilles tendons. Then it's all over for the dog.
I almost lost one that way but she figured it out and split before they got her.
Sheep herding dogs such as Great Pyraneese are great at getting coyotes. They appear to be a great white lumbering moving billboard——UNTIl they go after a coyote. They can outrun & catch & kill the coyote.