agent_85
Super Freak
I hope you don't have to spend too much time hunting for food, etc. It was OK with Snake Eater I guess, but really, who wants to do that when playing an action game? I think we can suspend disbelief while playing, and not have to eat to avoid starvation, sleep at night (unless you use that as a saving mechanism), etc.
I don't think you can really describe this simply as an action game, that would be far more applicable to the likes of an Uncharted title. This is an open-world, sand-box type game.
Regarding health you'll probably only suppliment your health by hunting and it probably wouldn't even matter if you decided not to hunt at all.