This is an attempt to model the worlds human population using differential equations. Two assumptions are made: change in population depends only on the rate of increase of the population and the carrying capacity of the population depends on the rate of increase of the population, i.e dP(t)/dt = r x P(t) x [K(t)-P(t)]. dK(t)/dt = c x dP(t)/dt where K(t), is the equation for the carrying capacity and P(t), is the equation for the population size. r and c are constants of proportionality.
Web page maintained by dave@hornacek.coa.edu.