My take (which does not involve maths, just analogy with other organisms) is that we are bacteria that eat all that's on a petri dish. Dying as a species is (I

My take (which does not involve maths, just analogy with other organisms) is that we are bacteria that eat all that's on a petri dish. Dying as a species is (IHMO) rather unlikely, except for external factors and a few contamination scenarios. Eating all resources, starving most population, and going back to a pre-industrial civilization. Except for a few living high-tech standards. But with devices, they can use but cannot replace.