%0 Journal Article
%T On the generalization of the GMS evolutionary model
%A Skevi Michael
%A Stanislav Volkov
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1104.4003v1