Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate
Joint Authors
Xu, Chaoqun
Zhang, Tonghua
Yuan, Sanling
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present a stochastic simple chemostat model in which the dilution rate was influenced by white noise.
The long time behavior of the system is studied.
Mainly, we show how the solution spirals around the washout equilibrium and the positive equilibrium of deterministic system under different conditions.
Furthermore, the sufficient conditions for persistence in the mean of the stochastic system and washout of the microorganism are obtained.
Numerical simulations are carried out to support our results.
American Psychological Association (APA)
Xu, Chaoqun& Yuan, Sanling& Zhang, Tonghua. 2013. Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-470985
Modern Language Association (MLA)
Xu, Chaoqun…[et al.]. Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-470985
American Medical Association (AMA)
Xu, Chaoqun& Yuan, Sanling& Zhang, Tonghua. Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-470985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470985
