2026-06-29T08:08:15Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/421972023-08-10T21:33:44Zcom_20.500.14352_14col_20.500.14352_15
Extinction times and size of the surviving species in a two-species competition process
Gómez-Corral, Antonio
López-García, M.
51-76
Competition process · Extinction times · Quasi-stationary regime
Biomatemáticas
2404 Biomatemáticas
We investigate a stochastic model for the competition between two species. Based on percentiles of the maximum number of individuals in the ecosystem, we present an approximating model for which the extinction time can be thought of as a phase-type random variable. We determine formulae for the probabilities of extinction and the moments of the extinction time. We discuss the use of several quasi-stationary assumptions. We include a comparative study between existing asymptotic results, results obtained from a simulation of the process, and our solution.
Government of Spain (Ministry of Science and Innovation);
European Commission
Depto. de Estadística e Investigación Operativa
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T00:12:29Z
2023-06-20T00:12:29Z
2012-02-01
journal article
https://hdl.handle.net/20.500.14352/42197
0303-6812
10.1007/s00285-011-0414-8
eng
MTM-2008-01121
BES-2009-018747
restricted access
application/pdf
Springer Verlag