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

Autor(es)

Guiol, Herve ^[1] ; Machado, Fabio P. ^[2] ; Schinazi, Rinaldo ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 27, n. 2, p. 201-209, MAY 2013.
• Citações Web of Science: 4

Resumo

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)

• Processo FAPESP: 09/18253-7 - Modelagem estocástica de população biológica
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Bolsas no Exterior - Pesquisa