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• W2765963584 abstract "Abstract The stochastic chemostat model with Monod-Haldane response function is perturbed by environmental white noise. This model has a global positive solution. We demonstrate that there is a stationary distribution of the stochastic model and the system is ergodic under appropriate conditions, on the basis of Khasminskii’s theory on ergodicity. Sufficient criteria for extinction of the microbial population in the stochastic system are established. These conditions depend strongly on the Brownian motion. We find that even small scale white noise can promote the survival of microorganism populations, while large scale noise can lead to extinction. Numerical simulations are carried out to illustrate our theoretical results." @default.
• W2765963584 created "2017-11-10" @default.
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• W2765963584 date "2017-10-20" @default.
• W2765963584 modified "2023-10-16" @default.
• W2765963584 title "Dynamics of the stochastic chemostat with Monod-Haldane response function" @default.
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• W2765963584 doi "https://doi.org/10.1038/s41598-017-13294-3" @default.
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