I'm afraid the solution must be harsher than most of the world can imagine.
Work camps aren't enough. They do not address the movement of these people across borders. In short, their travel must be stopped by whatever means necessary. Europe is almost certainly doomed if this migration isn't halted. We won't be too far behind unless severe action is taken to stop the flow of people.
So how to stop them? Kill them?
Leave them on the beach upon which they arrive to die?
That's the problem. There doesn't seem to be a way to stop them without killing them.