Mathematics
Modeling Population Growth with Logistic Differential Equations
Quick fact
The logistic equation predicts that a population will level off at a 'carrying capacity' determined by the environment, producing an S-shaped growth curve that is far more realistic than unending exponential growth.
Why this is interesting
Imagine a population of rabbits that doubles every month—until the food runs out. What happens then? Why doesn't the population just keep exploding?