PMID: 15244539Jul 13, 2004Paper

Colored-noise-induced discontinuous transitions in symbiotic ecosystems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Romi MankinKristiina Paunel

Abstract

A symbiotic ecosystem is studied by means of the Lotka-Volterra stochastic model, using the generalized Verhulst self-regulation. The effect of fluctuating environment on the carrying capacity of a population is taken into account as dichotomous noise. The study is a follow-up of our investigation of symbiotic ecosystems subjected to three-level (trichotomous) noise [Phys. Rev. E 65, 051108 (2002)]]. Relying on the mean-field theory, an exact self-consistency equation for stationary states is derived. In some cases the mean field exhibits hysteresis as a function of noise parameters. It is established that random interactions with the environment can cause discontinuous transitions. The dependence of the critical coupling strengths on the noise parameters is found and illustrated by phase diagrams. Predictions from the mean-field theory are compared with the results of numerical simulations. Our results provide a possible scenario for catastrophic shifts of population sizes observed in nature.

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Citations

Aug 12, 2009·Journal of Biological Physics·Gui-Quan SunQuan-Xing Liu
Dec 10, 2009·Bio Systems·Gui-Quan SunBai-Lian Li
Nov 23, 2015·The Journal of Chemical Physics·Davit A Potoyan, Peter G Wolynes
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gareth BaxterMartin B Tarlie
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Romi MankinEerik Reiter
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Romi MankinAin Ainsaar
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ako Sauga, Romi Mankin

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