Well...the simple fact is that, obviously, Homo sapiens can not multiply limitlessly. At some point a crash has to take place, just like in any overgrown animal population. But human life on earth will continue 'till the sun goes off. The more of us there are here, the dirtier the struggle of existance will get. An immensely wealthy minority of about 10% of the population will propably create a world of their own, and the rest of us remain as replacable working ants with little value. Possibly...
On the other hand, during the past 20-25 years the world has changed as (or even more) dramatically than during the previous big change, industrialisation, so it wouldn't be a surprise if something radical would occur, which would slow down the growth of the gap between the wealthy and the masses.