I'll fall back to my other question then, why would people leave? I was looking at this image: https://en.wikipedia.org/wiki/European_migrant_crisis#/media...
It seems like most migrants at the moment are not from Africa. If their motivations are mostly economic, we would expect the numbers to rise in proportion with the population, right? And they would be tempered by economies improving as their citizens get healthier and more productive and they stop having to fight and treat malaria. After some time, people will adapt to having healthier children and the rate of population increase will get lower.
I'm just not seeing this imminent crisis of exploding numbers of African migrants, and I don't see how the issues of integrating people could possible outweigh the benefits of people not dying.
I also have some issues with what qualifies as "mass societal disruption", but I guess that's mostly a semantics argument.