Grazing is a specific type of eating that humans don't typically do, although it could be used humorously to describe certain individuals. "Grazing" involves a constant but gradual methodical all day style of eating off the ground or up in trees, for example ground plants, and the such.

Many specific verbs for non-human animals have much more common counterparts that can be used on all animals including humans, "litters" or "pups" are "children", "spawn" is to "give birth", etc…

"hibernation" humans do not do, although their is "Seasonal Affected Disorder".

Humans "feeding themselves" could be said to be a non-human animals equivalent of "feeding", but this is highly open to interpretation as many uses of this sort of terminology can work.