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oaioai:doaj.org/article:6e2a6d16b8f54968ae944bd033c4d75c

Dynamics of a Stochastic Functional System for Wastewater Treatment

Authors
Publication date
1 January 2014
Publisher
'Hindawi Limited'
Doi

    Abstract

    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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    Last time updated on 12/10/2017

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