Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900570 | Applied Mathematics and Computation | 2018 | 7 Pages |
Abstract
This paper studies the asymptotic behaviors of one classical chemostat model in a stochastic environment. Based on the Feller property, sharp conditions are derived for the existence of a stationary distribution by using the mutually exclusive possibilities known in [11, 12] (See Lemma 2.4 for details), which closes the gap left by the Lyapunov function. Further, we obtain a sufficient condition for the extinction of the organism based on two noise-induced parameters: an analogue of the feed concentration S* and the break-even concentration λ. Results indicate that both noises have negative effects on persistence of the microorganism.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dianli Zhao, Sanling Yuan,