Back to Search
Start Over
DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS.
- Source :
-
Journal of Biological Systems . Jun2023, Vol. 31 Issue 2, p643-672. 30p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider a stochastic food chain chemostat model with variable yields. First, we prove the stochastic model has a unique global positive solution. Second, by employing suitable Lyapunov functions, Itô ′ s formula and some other important inequalities, the existence of a unique ergodic stationary distribution of a stochastic food chain chemostat model is researched, which can help us better understand the statistical characteristics of stochastic food chain chemostat models. Second, we investigate the extinction of the microorganism and the bacteria. Moreover, the case of extinction for bacteria but persistence for microbial species is considered. Finally, some numerical simulations are carried out to illustrate our theoretical results and the influence of the variable yields on the microorganism and the bacteria. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FOOD chains
*CHEMOSTAT
*LYAPUNOV functions
*STOCHASTIC models
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 02183390
- Volume :
- 31
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Biological Systems
- Publication Type :
- Academic Journal
- Accession number :
- 164117572
- Full Text :
- https://doi.org/10.1142/S0218339023500225