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Extinction times and size of the surviving species in a two-species competition process

Gómez Corral, Antonio and López García, M. (2012) Extinction times and size of the surviving species in a two-species competition process. Journal of Mathematical Biology, 64 . pp. 255-289. ISSN 0303-6812

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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.


Item Type:Article
Uncontrolled Keywords:Competition process · Extinction times · Quasi-stationary regime
Subjects:Medical sciences > Biology > Biomathematics
ID Code:15547
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