It's not what you're looking for, but you might like P.D. James's The Children of Men. It's about a world without children -- mass infertility.
Alfonso Cuaron directed the film and highjacked it to include illegal immigration themes that aren't in the book and that James probably wouldn't have approved of (though legally she did "approve" when she sold the movie rights).
“P.D. James’s The Children of Men.”
I very much enjoyed that book. And although I’ve never seen the movie it is clear after reading the book and just seeing the ads for the movie that they twisted the story a good deal. Needlessly I’d say.