[1] the characters' "world" is ending, but survival is an afterthought #285257|kajibariki BroCon Ane Natsuki Hen|95,533
[2] the characters' "world" has ended; survival and reproduction is the priority #501315|Mama to Musuko ga Mujintou de Love Love…|20,410
[3] absolute destruction, buildings are torn down and only 10 people are alive (the cliche post-apocalyptic setting)
I think all of these examples should fit under "apocalypse" but they not all of them do with ur current definition. upvoting for the tag, hoping for a new description though