A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species

Eckhard Schlemm

doi:10.1016/j.mbs.2015.06.011

A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species

Standard

A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species. / Schlemm, Eckhard.

in: MATH BIOSCI, Jahrgang 267, 09.2015, S. 53-60.

Publikationen: SCORING: Beitrag in Fachzeitschrift/Zeitung › SCORING: Zeitschriftenaufsatz › Forschung › Begutachtung

Harvard

Schlemm, E 2015, 'A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species', MATH BIOSCI, Jg. 267, S. 53-60. https://doi.org/10.1016/j.mbs.2015.06.011

APA

Schlemm, E. (2015). A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species. MATH BIOSCI, 267, 53-60. https://doi.org/10.1016/j.mbs.2015.06.011

Vancouver

Schlemm E. A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species. MATH BIOSCI. 2015 Sep;267:53-60. https://doi.org/10.1016/j.mbs.2015.06.011

Bibtex

@article{f9a5cede1ce8475584e95c72f492727a,

title = "A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species",

abstract = "The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation of order five with hypergeometric coefficients. Similar representations for the asymptotic fitness distribution in larger systems may help pave the way towards a resolution of the question of whether or not, in the limit of infinitely many species, the fitness is asymptotically uniformly distributed on the interval [fc, 1] with fc ≳ 2/3.",

keywords = "Biological Evolution, Genetic Speciation, Linear Models, Mathematical Concepts, Models, Genetic, Mutation, Selection, Genetic, Journal Article",

author = "Eckhard Schlemm",

year = "2015",

month = sep,

doi = "10.1016/j.mbs.2015.06.011",

language = "English",

volume = "267",

pages = "53--60",

journal = "MATH BIOSCI",

issn = "0025-5564",

publisher = "Elsevier Inc.",

}

RIS

TY - JOUR

T1 - A differential equation for the asymptotic fitness distribution in the Bak-Sneppen model with five species

AU - Schlemm, Eckhard

PY - 2015/9

Y1 - 2015/9

N2 - The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation of order five with hypergeometric coefficients. Similar representations for the asymptotic fitness distribution in larger systems may help pave the way towards a resolution of the question of whether or not, in the limit of infinitely many species, the fitness is asymptotically uniformly distributed on the interval [fc, 1] with fc ≳ 2/3.

AB - The Bak-Sneppen model is an abstract representation of a biological system that evolves according to the Darwinian principles of random mutation and selection. The species in the system are characterized by a numerical fitness value between zero and one. We show that in the case of five species the steady-state fitness distribution can be obtained as a solution to a linear differential equation of order five with hypergeometric coefficients. Similar representations for the asymptotic fitness distribution in larger systems may help pave the way towards a resolution of the question of whether or not, in the limit of infinitely many species, the fitness is asymptotically uniformly distributed on the interval [fc, 1] with fc ≳ 2/3.

KW - Biological Evolution

KW - Genetic Speciation

KW - Linear Models

KW - Mathematical Concepts

KW - Models, Genetic

KW - Mutation

KW - Selection, Genetic

KW - Journal Article

U2 - 10.1016/j.mbs.2015.06.011

DO - 10.1016/j.mbs.2015.06.011

M3 - SCORING: Journal article

C2 - 26144945

VL - 267

SP - 53

EP - 60

JO - MATH BIOSCI

JF - MATH BIOSCI

SN - 0025-5564

ER -