| Full text | |
| Author(s): |
Total Authors: 3
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| 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
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| 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 Opportunities: | Scholarships abroad - Research |