This post paints a fantasy world which simply doesn’t exist.
”Hen houses get raided” because they are accessible, and it has absolutely nothing to do with population density of coyotes or fox. Small pets and children get bitten (idiotic exaggeration of an exceptionally rare and localized symptom) because of proximity and acclimation, again, independent of population density.
Where there is that to be eaten, there will be also those for which to eat. It’s really not so complicated.