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A stochastic competing-species model and ergodicity
Published online by Cambridge University Press: 14 July 2016
Abstract
We consider a classic competing-species model with the rates changed to include Gaussian white noise. We show that if the noise is not too large, then the stochastic version is ergodic. An explicit relation between the noise and the original competing-species parameters gives a sufficient condition for ergodicity.
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- © Applied Probability Trust 2005
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