The hyperexponential growth of the human population on a macrohistorical scale

A qualitative comparison of human population dynamics with some other biolo gical populations growth in free regime is given in this paper along with a quantitative description of human population growth in the last 2000 years . It is shown that human population growth law is very different from the g rowth laws of other populations: all biological populations grow according to exponential law, whereas the human population grows according to hyperex ponential law which essentially moves ahead of the exponential one. It is f ound that unlike cell populations, the differential equation of rate of hum an population growth is of second order. This phenomenon can be described d ue to accelerating function which grows simultaneously with human populatio n number. An analytical hyperexponential equation, which allows to describe dynamics of human population, was obtained. (C) 2001 Academic Press.