My DSLR is very much alive. Last night I left on the table. This morning I found it on the windowsill. I ask "How did you get over here?" It replied "I like watching the birds." And that's the truth.
They are not dying. But more and more people are purchasing mirrorless cameras. Either way, it shouldn’t matter to those who are not stockholders in either format.
Yes and no. Will the DSLR become less prevalent? Yes, as mirrorless systems take over as the cameras of preference. Will they totally disappear? Not anytime soon.
Of course not. There will be always (and always have been) times, that show trends towards other kind of cameras, but that does not mean, that it will be dying. The SLR/DSLR has survived many "trends" and so it will this current one!