Addendum to “Colored-noise-induced discontinuous transitions in symbiotic ecosystems”

Ako Sauga and Romi Mankin
Phys. Rev. E 71, 062103 – Published 29 June 2005

Abstract

A symbiotic ecosystem with Gompertz self-regulation and with adaptive competition between populations is studied by means of a N-species Lotka-Volterra stochastic model. The influence of fluctuating environment on the carrying capacity of a population is modeled as a dichotomous noise. The study is a follow up of previous investigations of symbiotic ecosystems subjected to the generalized Verhulst self-regulation [Phys. Rev. E 69, 061106 (2004); 65, 051108 (2002)]. In the framework of mean-field approximation the behavior of the solutions of the self-consistency equation for a stationary system is examined analytically in the full phase space of system parameters. Depending on the mutual interplay of symbiosis and competition of species, variation of noise parameters (amplitude, correlation time) can induce doubly unidirectional discontinuous transitions as well as single unidirectional discontinuous transitions of the mean population size.

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  • Received 10 January 2005

DOI:https://doi.org/10.1103/PhysRevE.71.062103

©2005 American Physical Society

Authors & Affiliations

Ako Sauga* and Romi Mankin

  • Department of Natural Sciences, Tallinn Pedagogical University, 25 Narva Road, 10120 Tallinn, Estonia

  • *Electronic address: ako@audentes.ee

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Issue

Vol. 71, Iss. 6 — June 2005

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