Dynamics of an Impulsive Stochastic Nonautonomous Chemostat Model with Two Different Growth Rates in a Polluted Environment
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper proposes a novel impulsive stochastic nonautonomous chemostat model with the saturated and bilinear growth rates in a polluted environment.
Using the theory of impulsive differential equations and Lyapunov functions method, we first investigate the dynamics of the stochastic system and establish the sufficient conditions for the extinction and the permanence of the microorganisms.
Then we demonstrate that the stochastic periodic system has at least one nontrivial positive periodic solution.
The results show that both impulsive toxicant input and stochastic noise have great effects on the survival and extinction of the microorganisms.
Furthermore, a series of numerical simulations are presented to illustrate the performance of the theoretical results.
American Psychological Association (APA)
Li, Yajie& Meng, Xinzhu. 2019. Dynamics of an Impulsive Stochastic Nonautonomous Chemostat Model with Two Different Growth Rates in a Polluted Environment. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146435
Modern Language Association (MLA)
Li, Yajie& Meng, Xinzhu. Dynamics of an Impulsive Stochastic Nonautonomous Chemostat Model with Two Different Growth Rates in a Polluted Environment. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146435
American Medical Association (AMA)
Li, Yajie& Meng, Xinzhu. Dynamics of an Impulsive Stochastic Nonautonomous Chemostat Model with Two Different Growth Rates in a Polluted Environment. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146435