What's going to happen is going to depend pretty much on how much infrastructure remains standing. Bear in mind that (although many of the technologies are unrefined and currently illegal) we currently can make artificial gametes (male and female) artificial wombs, and (as of 2012) artificial DNA, we don't even need humans to make more humans (so long as we still have data from the human genome project). This is good not only for its own sake, but because breeding from a single individual is going to cause some serious genetic problems down the road, unless you have a lot of mutations going on, or are a species with four or more sexes (which humans aren't, despite what some overzealous people would have you believe).
The catch is that that would require a lack of social collapse, which society is not going to have. Monogendered societies, absent a strong ideological bond (like monasteries or convents) don't work very well (like prisons), and women would not fare better than men in this. It's going to get bad, and get bad fast.
The catch is that that would require a lack of social collapse, which society is not going to have. Monogendered societies, absent a strong ideological bond (like monasteries or convents) don't work very well (like prisons), and women would not fare better than men in this. It's going to get bad, and get bad fast.