This week I had a thought about ecosystems. Image a population of foxes and a poulation of rabits, if you graph the amount of foxes to the amount of rabbits the result on the x-y plane is a counterclockwise circle that repeats over and over. However, in nature there is randommnes on which creatures live and die. Imagine the point is on the bottom portion of the circle, if the point by randomness moves up, the circle will shrink, if it moves down the circle will grow, however if it moves left or right, the circle also grows. This shows that because of chaos it is more likely that the circle will grow than shrink, so over time the circle will grow. The circle will continue to grow until either all the predators die or all the prey die.
