Jun. 22nd, 2013

http://www.cims.nyu.edu/~eve2/predprey.pdf

Prime number selection of cycles in a predator-prey model
Eric Goles, Oliver Schulz, Mario Markus

The fact that some species of cicadas appear every 7, 13, or 17 years and that these periods are prime numbers has been regarded as a coincidence. We found a simple evolutionary predator-prey model that yields prime-periodic preys having cycles predominantly around the observed values. An evolutionary game on a spatial array leads to travelling waves reminiscent of those observed in excitable systems. The model marks an encounter of two seemingly unrelated disciplines: biology and number theory. A restriction to the latter, provides an evolutionary generator of arbitrarily large prime numbers.

Via [livejournal.com profile] udod's post and Wikipedia.

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Anton Salikhmetov

November 2018

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