Stationary distribution of a stochastic chemostat model with Beddington–DeAngelis functional response

Zhongwei Cao, Xiangdan Wen, Huishuang Su, Liya Liu and Qiang Ma

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: In this paper, we study a stochastic chemostat model with Beddington–DeAngelis functional response. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. The existence of a stationary distribution implies stochastic weak stability.

Keywords: Stochastic chemostat model; Stationary distribution; Ergodicity; Beddington–DeAngelis functional response (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120303095

DOI: 10.1016/j.physa.2020.124634

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