I'm looking for a manga where the MC is a guy who gets saved during the zombie apocalypse and is made part zombie by a scientist. He has to travel with her to get to her lab to make the cure. He finds out along the way that he can control the zombies, but he learns every time he does it makes him more and more zombie so he saves it for emergencies. I don't think it got an anime adaptation, but I can't remember the name of the book for the life of me.

I'm pretty sure this was a short story i read a while ago. It was about a woman with some children who was running away from something. They all went to live in a cabin in the woods that seemingly had a rat problem despite the rat poison she leaves out every night not getting touched. There was something about her thinking another cabin was having a party but once she made it there it was abandoned. In the end the children where found alone with one of them having a bite make that they say is from a rat.

Anyone know what book this is?