In 1798, British economist Thomas Malthus created a theory - published in Essay on the Principle of Population - in accordance to which uncontrolled world population growth will inevitably lead to hunger. Malthus' primary assumption was that population grows geometrically while food production grows arithmetically. The most adequate solutions to the inevitable hunger, according to Malthus, include wars, natural disasters, and diseases.
As we can see from official statistics, Malthus' fear was for nothing. The world's population growth has exceeded that of food supply growth but the world is not hungry.