The classic Predator-Prey Model demonstrates drastic swings in both predator and prey populations: http://www.scholarpedia.org/article/Predator-prey_model http

The classic Predator-Prey Model demonstrates drastic swings in both predator and prey populations: http://www.scholarpedia.org/article/Predator-prey_model http://www.scholarpedia.org/article/Predator-prey_model This model was one of my favorite revelations in high school.