Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat
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摘要
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.
论文关键词:Stochastic chemostat model,Feller property,Stationary distribution,Extinction,Break-even concentration
论文评审过程:Received 6 January 2018, Revised 12 May 2018, Accepted 8 July 2018, Available online 4 August 2018, Version of Record 4 August 2018.
论文官网地址:https://doi.org/10.1016/j.amc.2018.07.020