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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On a link between a species survival time in an evolution model and the Bessel distributions

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Author(s):
Guiol, Herve [1] ; Machado, Fabio P. [2] ; Schinazi, Rinaldo [3]
Total Authors: 3
Affiliation:
[1] Univ Grenoble 1, CNRS, Grenoble INP, TIMC IMAG UMR 5525, F-38041 Grenoble - France
[2] Univ Sao Paulo, BR-05508090 Sao Paulo - Brazil
[3] Univ Colorado, Colorado Springs, CO 80933 - USA
Total Affiliations: 3
Document type: Journal article
Source: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 27, n. 2, p. 201-209, MAY 2013.
Web of Science Citations: 4
Abstract

We consider a stochastic model for species evolution. A new species is born at rate lambda and a species dies at rate mu. A random number, sampled from a given distribution F, is associated with each new species and assumed as its fitness, at the time of birth. Every time there is a death event, the species that is killed is the one with the smallest fitness. We consider the (random) survival time of a species with a given fitness f. We show that the survival time distribution depends crucially on whether f < f(c), f = f(c) or f > f(c) where f(c) is a critical fitness that is computed explicitly. (AU)

FAPESP's process: 09/18253-7 - Stochastic modeling for population biology
Grantee:Fabio Prates Machado
Support type: Scholarships abroad - Research