A simple dynamic mathematical model was developed to describe a microbial system composed of two populations: filamentous and floc-forming bacteria. Growth rates of both microorganisms depend on the concentration of a single organic substrate and on the dissolved oxygen (DO) concentration. Biokinetic parameters were estimated from the experimental data reported in the literature. Using these parameters population changes were examined under variable DO concentrations. The comparison of the numerical simulations and experimental data indicated a possibility of controlling population composition within a desired range through periodic changes in DO concentration. The existence of a single common trajectory on phase plane guarantees the stability of the designed cycle.

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