Dynamics of a Stochastic Functional System for Wastewater Treatment

Joint Authors

Ji, Xuehui
Yuan, Sanling

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-24

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Ji, Xuehui& Yuan, Sanling. 2014. Dynamics of a Stochastic Functional System for Wastewater Treatment. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014866

Modern Language Association (MLA)

Ji, Xuehui& Yuan, Sanling. Dynamics of a Stochastic Functional System for Wastewater Treatment. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1014866

American Medical Association (AMA)

Ji, Xuehui& Yuan, Sanling. Dynamics of a Stochastic Functional System for Wastewater Treatment. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014866

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014866