RT Journal Article
T1 Extinction times and size of the surviving species in a two-species competition process
A1 Gómez-Corral, Antonio
A1 López-García, M.
AB 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.
PB Springer Verlag
SN 0303-6812
YR 2012
FD 2012-02-01
LK https://hdl.handle.net/20.500.14352/42197
UL https://hdl.handle.net/20.500.14352/42197
LA eng
NO Government of Spain (Ministry of Science and Innovation);
NO European Commission
DS Docta Complutense
RD 10 abr 2025