It's called the Apocalypse Bicycle, but that's far more in the sense of "The Apocalypse is here already, you're just not living in it" rather than apocalyptic fiction or such.

This paper supposes you would actually build bicycles for people in dire, dire need instead of what they'd use that's already available and under that premise, I'm in full agreement.

It's far from realistic for it to ever happen and I suppose if you were to put up the resources for it, there'd probably be better uses for it, but I think it's an interesting thought experiment.