Just to add a little more to willtsmith's sensible information, if you've ever encountered a coyote at close range, you'll discover just how puny they are as compared to the popular [mis]conception. It doesn't take much of a domestic dog to scare 'em off.

I've never seen any information implicating healthy coyotes in injuring humans. In fact, I don't know of any problems with wolves either hurting folks in North America. . .unlike their European cousins who will hunt you. . if you're lucky enough to be in a place where they survive. [Shivver.]

'Nother thing. . .coyotes rarely form packs. They live in nuclear families. . .mom, dad, the kids. . .occasionally a surviving grandmother or whatnot. It's wolves as live in 'packs', actually extended families. And you bet, wolves will eradicate coyotes. Let's bring back wolf!!! As you can see, coyote will take care of herself as long as the mouse and grasshopper population is good.