Stochastic Characteristics and Optimal Control for a Stochastic Chemostat Model with Variable Yield
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, a stochastic chemostat model with variable yield and Contois growth function is investigated.
The yield coefficient depends on the limiting nutrient, and the environmental noises are given by independent standard Brownian motions.
First, the existence and uniqueness of global positive solution are proved.
Second, by using stochastic Lyapunov function, Itô’s formula, and some important inequalities, stochastic characteristics for the stochastic model are studied, including the extinction of micro-organism, the strong persistence in the mean of micro-organism and, the existence of a unique stationary distribution of the stochastic model.
Third, the necessary condition of an optimal stochastic control for the stochastic model is established by Hamiltonian function.
In addition, some numerical simulations are carried out to illustrate the theoretical results and the influence of the variable yield on the microorganism.
American Psychological Association (APA)
Yan, Rong& Shulin, Sun. 2020. Stochastic Characteristics and Optimal Control for a Stochastic Chemostat Model with Variable Yield. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1142236
Modern Language Association (MLA)
Yan, Rong& Shulin, Sun. Stochastic Characteristics and Optimal Control for a Stochastic Chemostat Model with Variable Yield. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1142236
American Medical Association (AMA)
Yan, Rong& Shulin, Sun. Stochastic Characteristics and Optimal Control for a Stochastic Chemostat Model with Variable Yield. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1142236
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142236