Dynamic analysis of a stochastic microorganism flocculation model with two complementary nutrients and nonlinear perturbation

This paper considers a stochastic model of microorganism flocculation incorporating two complementary nutrients. By introducing nonlinear perturbation, we analyze the influence of flocculations, microorganisms, and two nutrients on the model dynamic. The paper proves the existence and uniqueness of the stationary distribution in the stochastic model. Moreover, sufficient conditions for the extinction of microorganisms are established. Numerical simulations indicate that nonlinear perturbation makes the growth process of microorganisms more unpredictable, better reflecting the complicated variations in real-world environments. Noise interference is not always detrimental, but appropriate noise levels may promote the growth of microorganisms.