Open Access
2014 Dynamics of a Stochastic Functional System for Wastewater Treatment
Xuehui Ji, Sanling Yuan
Abstr. Appl. Anal. 2014(SI01): 1-18 (2014). DOI: 10.1155/2014/831573


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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Xuehui Ji. Sanling Yuan. "Dynamics of a Stochastic Functional System for Wastewater Treatment." Abstr. Appl. Anal. 2014 (SI01) 1 - 18, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023156
MathSciNet: MR3191069
Digital Object Identifier: 10.1155/2014/831573

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI01 • 2014
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