The Principle of Competitive Exception in a Two-Species Community with One Metabolic Regulation Factor


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Abstract

The validity of the competitive exclusion principle (the Gause’s principle) at one metabolic regulation factor is demonstrated for a general model of two-species community. The competitive exclusion principle postulates that a long-term coexistence of species is impossible if their number exceeds the number of density-dependent growth-regulating factors. Previously, this principle was proved for the stationary states in a general model of a community with any number of factors. In the dynamic modes, the number of species in a community may exceed the number of regulating factors. However, under the influence of one factor, only one species survives.

About the authors

A. G. Degermendzhi

Institute of Biophysics, Krasnoyarsk Scientific Center, Siberian Branch

Email: abakumov@iacp.dvo.ru
Russian Federation, Krasnoyarsk, 660036

A. I. Abakumov

Institute for Automation and Control Processes, Far Eastern Branch

Author for correspondence.
Email: abakumov@iacp.dvo.ru
Russian Federation, Vladivostok, 690041

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