Logistic map (aka uncontrolled growth of population or overpopulation) is basically the fundamental source of suffering for all living things. Instead of planning for food, nature just overproduces demand and lets the weak starve to death and the average to just starve.
Rather than asking how it would support billions, we should ask how we are planning to not suffer in these numbers. Haven’t heard it regarding our current life style. Everyone tells us to reproduce more and pay more and more astronomic bills and loans, that’s it.