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How long could humans survive only on other humans?

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A tragic event strikes the Earth, killing all living plants and animals except humans. With no other food source, humans turn to cannibalism. Assuming fresh water and oxygen is still available, how long could the human species survive eating only other humans?

I imagine two possible scenarios:

  1. The amount of nutrition available is finite. Eventually, only two very weak humans will be left, one eating the other.
  2. The overall population will reach an equilibrium, which may fluctuate up and down, but will remain stable.
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This post was sourced from https://worldbuilding.stackexchange.com/q/140597. It is licensed under CC BY-SA 4.0.

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