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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. [ABSTRACT FROM AUTHOR]