Zone one : a novel / Colson Whitehead.

Mark Spitz and his squad of three "sweepers" move through Zone One of lower Manhattan, a walled-off enclave scheduled for resettlement in the aftermath of a zombie plague. The great masses of the undead have been violently dispatched by a Marine detachment. It falls to Spitz and his fellows to take care of the handful that remain, as well as a second-tier of the infected known as "stragglers": zombies who have bypassed the cannibalistic urges of their more lethal fellows in favor of a hollow-eyed, eerily nostalgic repetition of some mundane act.