Dynamics of a stochastic functional system for wastewater treatment (Q1725084)
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scientific article; zbMATH DE number 7023156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of a stochastic functional system for wastewater treatment |
scientific article; zbMATH DE number 7023156 |
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Dynamics of a stochastic functional system for wastewater treatment (English)
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14 February 2019
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Summary: The dynamics of a delayed stochastic model simulating wastewater treatment process are studied. We assume that there are stochastic fluctuations in the concentrations of the nutrient and microbes around a steady state, and introduce two distributed delays to the model describing, respectively, the times involved in nutrient recycling and the bacterial reproduction response to nutrient uptake. By constructing Lyapunov functionals, sufficient conditions for the stochastic stability of its positive equilibrium are obtained. The combined effects of the stochastic fluctuations and delays are displayed.
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