I'd have an easier time keeping Eve, who is a keen set of ears, rarely barks, and would be a hyper-vigilant lookout. She wouldn't be too much help with hunting and I wouldn't put it on her to protect me from something like zombies, but she'd be a huge help with staying alive if we were in a situation where we needed to hide from something.
She would be incredibly detrimental in certain ways in a zombie apocalypse, because she'd be in close proximity to my own gunshots if I had to kill and doubletap the Zs. That's her one downfall, and I honestly don't know if I'd lose her in that situation. If she booked it, I guess I'd be on my own.
Dusk... It sounds mean, but he'd screw us over so badly. He's a loud barker at anything outside the house, he starts confrontations that he doesn't follow up on (leaving us to deal with the angry whatever that he's offended) and he runs off sometimes. He's the annoying, over-dependent dog/child that they put into movies and books to make the ordeal more difficult for the protagonist. I think he'd be a pretty serious detriment to survival, but I don't know what we'd do with him. It wouldn't be humane to just leave him to starve.
I wouldn't be lugging around big bags of dog food unless I was equipped with a big vehicle. If we're talking traveling on foot, surviving in a more primitive way, my dog would go back to her roots and live as a scavenger, when we found or killed food we'd share it with her.
Emotionally I would take them both and deal with the consequences of 1.) having 2 dogs to look after and 2.) Dusky's loud mouth and cowardice.