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On the Generalization of the GMS Evolutionary Model

Michael, S. and Volkov, Stanislav LU (2012) In Markov Processes and Related Fields 18(2). p.311-322
Abstract
We study a generalization of the evolution model proposed by Guiol, Machado and Schinazi [4]. 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 appropriate conditions, a set of species approaches (in some sense) a sample from a uniform distribution on [f, 1], where f is an element of [0, 1), and that the total number of species forms a recurrent process in most other cases.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bak-Sneppen evolution model, interacting particle systems, random walk
in
Markov Processes and Related Fields
volume
18
issue
2
pages
311 - 322
publisher
Polymat Ltd
external identifiers
  • wos:000306882700005
ISSN
1024-2953
language
English
LU publication?
yes
id
b585feb0-1e0e-4722-b616-d60391673ac1 (old id 3079765)
date added to LUP
2012-09-25 11:04:19
date last changed
2017-03-15 11:31:24
@article{b585feb0-1e0e-4722-b616-d60391673ac1,
  abstract     = {We study a generalization of the evolution model proposed by Guiol, Machado and Schinazi [4]. 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 appropriate conditions, a set of species approaches (in some sense) a sample from a uniform distribution on [f, 1], where f is an element of [0, 1), and that the total number of species forms a recurrent process in most other cases.},
  author       = {Michael, S. and Volkov, Stanislav},
  issn         = {1024-2953},
  keyword      = {Bak-Sneppen evolution model,interacting particle systems,random walk},
  language     = {eng},
  number       = {2},
  pages        = {311--322},
  publisher    = {Polymat Ltd},
  series       = {Markov Processes and Related Fields},
  title        = {On the Generalization of the GMS Evolutionary Model},
  volume       = {18},
  year         = {2012},
}