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Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism
Joint Authors
Miao, Anqi
Zhang, Jian
Zhang, Tongqian
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A new stochastic chemostat model with two substitutable nutrients and one microorganism is proposed and investigated.
Firstly, for the corresponding deterministic model, the threshold for extinction and permanence of the microorganism is obtained by analyzing the stability of the equilibria.
Then, for the stochastic model, the threshold of the stochastic chemostat for extinction and permanence of the microorganism is explored.
Difference of the threshold of the deterministic model and the stochastic model shows that a large stochastic disturbance can affect the persistence of the microorganism and is harmful to the cultivation of the microorganism.
To illustrate this phenomenon, we give some computer simulations with different intensity of stochastic noise disturbance.
American Psychological Association (APA)
Zhang, Jian& Miao, Anqi& Zhang, Tongqian. 2017. Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190666
Modern Language Association (MLA)
Zhang, Jian…[et al.]. Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1190666
American Medical Association (AMA)
Zhang, Jian& Miao, Anqi& Zhang, Tongqian. Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190666