COMPETITION BETWEEN TWO MICROORGANISMS IN THE CHEMOSTAT WITH GENERAL VARIABLE YIELDS AND GENERAL GROWTH RATES

摘要

A model of competition between two organisms in the chemostat is studied in this paper,where it is assumed that the yield coefficients and growth rates are general functions ofthe nutrient concentration. We give a characterization of the outcome of this competitionin terms of the relevant parameters in hyperbolic cases: conditions of the existence andlocal stability of the rest points are obtained, and the global asymptotic behavior of thesolutions is analyzed. In contrast to the corresponding model with constant yields rate,it is demonstrated that the variability of the yield coefficient may lead to oscillatorycoexistence of two microorganisms in continuous culture.