Prime Number Natural Selection
Jun. 22nd, 2013 09:25 amhttp://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
udod's post and Wikipedia.
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
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