I call BS, if by "amateur photographers" you're talking about enthusiasts who care about composing and exposing a great shot, not just taking a nice picture of the kids in front of the Christmas tree. It's like someone in 2012 saying "at the rate smartphone input apps are progressing, in 5 years no-one will buy physical keyboards for their computers."
The reason someone carries a DSLR today is because of the optics, the speed and the control mechanisms. Having shutter speed, aperture, white balance etc. at your fingertips when shooting. Having the ability to switch from a 105mm portrait lens to a 20mm fisheye. Having that rapid autofocus and response time that lets you capture great shots. Having 14 bit RAW files that you can post-process to save that reflex once-in-a-lifetime shot that was underexposed. Having the ability to mount a flash off-camera (or even three strobes). Those are things you can never get on an iPhone or Samsung.
Nikon, Canon etc. have already "bled dry" of customers going to smartphones instead of DSLRs, and at this point their business models look fairly stable. The share price of both companies has also been fairly stable for the past 3-4 years; both are up 30% over the past year, although that (and a lot of their volatility) is tied to the JPY:USD exchange rate.