Extinction times and size of the surviving species in a two-species competition process
| dc.contributor.author | Gómez-Corral, Antonio | |
| dc.contributor.author | López-García, M. | |
| dc.date.accessioned | 2023-06-20T00:12:29Z | |
| dc.date.available | 2023-06-20T00:12:29Z | |
| dc.date.issued | 2012-02-01 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Government of Spain (Ministry of Science and Innovation); | |
| dc.description.sponsorship | European Commission | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15547 | |
| dc.identifier.doi | 10.1007/s00285-011-0414-8 | |
| dc.identifier.issn | 0303-6812 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/f1n0012122027765/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42197 | |
| dc.journal.title | Journal of Mathematical Biology | |
| dc.language.iso | eng | |
| dc.page.final | 289 | |
| dc.page.initial | 255 | |
| dc.publisher | Springer Verlag | |
| dc.relation.projectID | MTM-2008-01121 | |
| dc.relation.projectID | BES-2009-018747 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 51-76 | |
| dc.subject.keyword | Competition process · Extinction times · Quasi-stationary regime | |
| dc.subject.ucm | Biomatemáticas | |
| dc.subject.unesco | 2404 Biomatemáticas | |
| dc.title | Extinction times and size of the surviving species in a two-species competition process | |
| dc.type | journal article | |
| dc.volume.number | 64 | |
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| dspace.entity.type | Publication |
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