Simple Rules with Complex Dynamics
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The incidence of infectious diseases such as measles shows patterns that oscillate between regular (occurring at a set time and location) and irregular cycles. In a Perspective, [May][1] discusses a report ([ Earn et al .][2]) that provides a simple mathematical model to explain the transitions between regular and irregular cycles of measles outbreaks in the United States and the United Kingdom.
[1]: http://www.sciencemag.org/cgi/content/full/287/5453/601
[2]: http://www.sciencemag.org/cgi/content/short/287/5453/667
[1] D. Earn,et al. A simple model for complex dynamical transitions in epidemics. , 2000, Science.