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• W2018380000 abstract "Populations of competing biological species exhibit a fascinating interplay between the nonlinear dynamics of evolutionary selection forces and random fluctuations arising from the stochastic nature of the interactions. The processes leading to extinction of species, whose understanding is a key component in the study of evolution and biodiversity, are influenced by both of these factors. In this paper, we investigate a class of stochastic population dynamics models based on generalized Lotka-Volterra systems. In the case of neutral stability of the underlying deterministic model, the impact of intrinsic noise on the survival of species is dramatic: it destroys coexistence of interacting species on a time scale proportional to the population size. We introduce a new method based on stochastic averaging which allows one to understand this extinction process quantitatively by reduction to a lower-dimensional effective dynamics. This is performed analytically for two highly symmetrical models and can be generalized numerically to more complex situations. The extinction probability distributions and other quantities of interest we obtain show excellent agreement with simulations." @default.
• W2018380000 created "2016-06-24" @default.
• W2018380000 creator A5067299116 @default.
• W2018380000 creator A5080900354 @default.
• W2018380000 date "2012-05-03" @default.
• W2018380000 modified "2023-10-18" @default.
• W2018380000 title "Extinction in neutrally stable stochastic Lotka-Volterra models" @default.
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• W2018380000 doi "https://doi.org/10.1103/physreve.85.051903" @default.
• W2018380000 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23004784" @default.
• W2018380000 hasPublicationYear "2012" @default.
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