Dynamics of a stochastic functional system for wastewater treatment
type: Item
instance of: scholarly article
title: Dynamics of a stochastic functional system for wastewater treatment
zbMATH Open document ID: 1406.92667
DOI: 10.1155/2014/831573
author: Xuehui Ji
author: Sanling Yuan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 7023156
Wikidata QID: Q59041859
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/831573
OpenAlex ID: W2092623753
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description: scientific article; zbMATH DE number 7023156