Not sure to be honest, I know in one of the videos involving Barb, she mentioned to Chris that they were running low on cat/dog food and that Barb wanted Chris to go get some soon. We already know that Chris is responsible for getting most of the food and other household items, so it probably would mean that Chris would either have to stock up on some more food so they don't run out, or Chris uses some of his goddess foresight and lets Barb know that she needs to pick up some food for them some time while he's gone.
But the most likely outcome will be that Chris won't even think about this, and the pets might starve whilst Barb sits in her bed half dead doing nothing.
Looks like they'll rummage through the hoard first, then sniff barb out to see if they can eat her, and then they'll start eating themselves.
What a terrible fate that would be.