You've demonstrated that you've fallen for the popular misconception of Malthusian theory. It's not that food is "depleted at the margin" as in people starve until death rates go up. What actually happens at the margin is, lacking in sufficient resources to comfortably do so, people forego having kids. Perhaps, in olden times, lacking the prosperity to get the fathers permission in marriage.
What stopped the world population from hitting 8 billion in year 1 AD already then? Why did population of British Isles was under 1 million at the time, instead of over 70 million today? You can’t explain this without Malthusian arguments.
In a Malthusian model there would be a larger share of poor and starving as food becomes more abundant, because remember necessarily population outgrows food production.
The Malthusian model predicts forever growing extreme poverty as a share of population.