Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 831573, 18 pages.
Dynamics of a Stochastic Functional System for Wastewater Treatment
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.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 831573, 18 pages.
First available in Project Euclid: 6 October 2014
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Ji, Xuehui; Yuan, Sanling. Dynamics of a Stochastic Functional System for Wastewater Treatment. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 831573, 18 pages. doi:10.1155/2014/831573. https://projecteuclid.org/euclid.aaa/1412607546