My first review, bare with me... Sorry that it's short.
Story: So far only four episodes in it's not safe to judge, but overall the story is progressing at a great rate leaving me never bored, but also never questioning (okay except the "Where did zombies come from?" thing but that I don't expect to know.) This seems like what would really happen in a zombie apocalypse, so they're hitting the story dead on. If I have to critic it then that would be on the overall cliche feeling of it. 9/10
Art: This is top notch. I heard they have a nice sized animation budget. It has to 2006+ feel to it. The fight scenes are fluid and smooth. They give an awesome actiony feel to it. The backgrounds are splendid and it's overall very good. A downside, way to much fan service. The first two episodes we're really bad, but these last two have seemed to be a little better. 9/10
Sound: Okay it falls a bit short here. The OP is pretty good, and I like how they animated to the song. I don't care for the ED. The OST music is... okay, some anime have a lot better but this one isn't bad. The voice acting is.. Well I say it's pretty good, I don't like the nurses voice acting but it does fit her character. I'm not that keen of Japanese voice acting though. I don't speak it. 7/10
Character: I like watching how this is going. They are acting like how you an I would act (well maybe, you might just get eaten.) I can connect to them in a way. Of course I'll chose flight over fight in this situation (being a tracuer and all) but it feels right, like they're real people. Well almost at least. The romance is a bit meh, almost like they felt they had to put it in there but didn't want to. I guess it's not horrible though. 8/10
Enjoyment: Of course this section is very varied for each person. I have been enjoying this anime and anticipating it's next episode through the whole week only to get drawn in even more since episode one aired. I've always been a fan of zombie survival things. Friends and I spend hours talking about what we'd do in a zombie apocalypse. To top it off these are my zombies, they fit every aspect. I'm not a major fan of the fan service as I said, it's more distracting than anything. 8/10
Overall: It is doing what it set out to. I would recommend this to anyone who doesn't mind violence, gore, or fan service.
41/50
8.2/10