Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we formulate and investigate a two-microorganism and single nutrient chemostat model with Monod-Haldane response function and random perturbation.
First, for the corresponding deterministic system, we introduce the conditions of the stability of the equilibrium points.
Then, using Lyapunov function and Itô’s formula, we investigate the existence and uniqueness of the global positive solution of the stochastic chemostat model.
Furthermore, we explore and obtain the criterions of the extinction and the permanence for the stochastic model.
Finally, numerical simulations are carried out to illustrate our main results.
American Psychological Association (APA)
Chi, Mengnan& Zhao, Wencai. 2019. Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1133055
Modern Language Association (MLA)
Chi, Mengnan& Zhao, Wencai. Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1133055
American Medical Association (AMA)
Chi, Mengnan& Zhao, Wencai. Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1133055
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133055