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Dynamics of the stochastic chemostat with monod-haldane response function

Wang, Liang
; 
Jiang, Daqing
; 
Wolkowicz, Gail S. K.
; 
O’Regan, Donal
Identifiers
http://hdl.handle.net/10379/14369
 https://doi.org/10.13025/28036
Publication Date
2017-10-20
Keywords
break-even concentration, food-chain chemostat, mathematical-model, epidemic model, environment, equation, washout, system
Type
journal article
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Citation
Wang, Liang; Jiang, Daqing; Wolkowicz, Gail S. K. O’Regan, Donal (2017). Dynamics of the stochastic chemostat with monod-haldane response function. Scientific Reports 7 ,
Abstract
The stochastic chemostat model with Monod-Haldane response function is perturbed by environmental white noise. This model has a global positive solution. We demonstrate that there is a stationary distribution of the stochastic model and the system is ergodic under appropriate conditions, on the basis of Khasminskii's theory on ergodicity. Sufficient criteria for extinction of the microbial population in the stochastic system are established. These conditions depend strongly on the Brownian motion. We find that even small scale white noise can promote the survival of microorganism populations, while large scale noise can lead to extinction. Numerical simulations are carried out to illustrate our theoretical results.
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Publisher
Springer Nature
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Externally hosted open access publications with University of Galway authors (2)