We suspect that Zombies and cats would, in actuality, pretty much just ignore each other. The daydreamers over at Mr. TVCow have some different, altogether more awesome, ideas.
MoreBrains.com
Because Every Once in a While You Just have to Eat some Brains
Laugh with our Alexa Skill!
Echo owners, say, "Alexa, Enable the Zombie Jokes Skill". Then, whenever you'd like an undead giggle, just say, "Alexa, ask Zombie Jokes to make me laugh!"