On the generalization of the GMS evolutionary model

Skevi Michael; Stanislav Volkov

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arXiv · 1104.4003

On the generalization of the GMS evolutionary model

Skevi Michael·Stanislav Volkov

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Abstract

We study a generalization of the evolution model proposed by Guiol, Machado and Schinazi (arXiv:0909.2108). In our model, at each moment of time a random number of species is either born or removed from the system; the species to be removed are those with the lower fitnesses, fitnesses being some numbers in $[0,1]$. We show that under some conditions, a set of species approaches (in some sense) a sample from a uniform distribution on $[f,1]$ for some $f\in [0,1)$, and that the total number of species forms a recurrent process in most other cases.

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Skevi Michael, Stanislav Volkov. 2011-04-20. On the generalization of the GMS evolutionary model. https://arxiv.org/abs/1104.4003

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