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Long-time behaviour of a stochastic chemostat model with distributed delay.
- Source :
-
Stochastics: An International Journal of Probability & Stochastic Processes . Dec2019, Vol. 91 Issue 8, p1141-1163. 23p. - Publication Year :
- 2019
-
Abstract
- In this paper, we analyse a stochastic chemostat model with distributed delay and degenerate diffusion. We transform the stochastic model with weak kernel case into an equivalent system through the linear chain technique. Since the diffusion matrix is degenerate, the uniform ellipticity condition is not satisfied. The Markov semigroup theory is used to obtain the existence and uniqueness of a stable stationary distribution. We prove the densities of the distributions of the positive solutions can converge in L 1 to an invariant density. The existence of a stable stationary distribution implies stochastic persistence of the microorganism. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC models
*LINEAR systems
*BEHAVIOR
*DIFFUSION
Subjects
Details
- Language :
- English
- ISSN :
- 17442508
- Volume :
- 91
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Stochastics: An International Journal of Probability & Stochastic Processes
- Publication Type :
- Academic Journal
- Accession number :
- 139313269
- Full Text :
- https://doi.org/10.1080/17442508.2019.1576689