ArticleJournal of mathematical biology2012
Extinction times and size of the surviving species in a two-species competition process.
Article in Journal of mathematical biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Analysis of a household-scale model for the invasion of Wolbachia into a resident mosquito population.Journal of mathematical biology · 2025Article
- On time-discretized versions of the stochastic SIS epidemic model: a comparative analysis.Journal of mathematical biology · 2021Article
- Perturbation analysis in finite LD-QBD processes and applications to epidemic models.Numerical linear algebra with applications · 2018Article
- Quantifying the phosphorylation timescales of receptor-ligand complexes: a Markovian matrix-analytic approach.Open biology · 2018Article
- Stochastic descriptors to study the fate and potential of naive T cell clonotypes in the periphery.Journal of mathematical biology · 2017Article
- Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma.PloS one · 2016Article
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Authors and funding
2 authors.
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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.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.