Nyaight of the Living Cat

Synopsis

From Seven Seas:

A virus spreads across the world, transforming all humankind into wild, slavering, furry beasts: cats, to be precise. Those few survivors who remain human take refuge in the dark corners of the earth as they fight back against the feline horde. Kunagi, a man with no memory of his past yet a deep knowledge of cats, struggles to hold on with only his wits and a will to survive. Yet the virus transmits merely through cuddles, and Kunagi finds kitties so hard to resist! Is his willpower strong enough to withstand this hair-raising cat-tastrophe?

Synopsis & details from MangaUpdates