I don't see Bitcoin death anytime soon, but then again there only 21 million Bitcoins available so once they are mined out, will determine what actually happens till then it's a wait and watch.
When all the bitcoin are mined then the miners will profit from the transaction fees,either way it will take a very long time for that to happen in the first place,if you look at the miners revenue now then will be getting around 14 to 18 btc according to transaction fees for successfully mining a block,12.5 bitcoin as reward and the rest as mining fees.