Аннотация
We investigate by means of a simple theoretical model the emergence of prime
numbers as life cycles, as those seen for some species of cicadas. The cicadas,
more precisely, the Magicicadas spend most of their lives below the ground and
then emerge and die in a short period of time. The Magicicadas display an
uncommon behavior: their emergence is synchronized and these periods are
usually prime numbers. In the current work, we develop a spatially extended
model at which preys and predators coexist and can change their evolutionary
dynamics through the occurrence of mutations. We verified that prime numbers as
life cycles emerge as a result of the evolution of the population. Our results
seem to be a first step in order to prove that the development of such strategy
is selectively advantageous, especially for those organisms that are highly
vulnerable to attacks of predators.
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