Threshold dynamics in a stochastic chemostat model under regime switching

Liang Wang, Daqing Jiang and Tao Feng

Physica A: Statistical Mechanics and its Applications, 2022, vol. 599, issue C

Abstract: A stochastic chemostat model in random environments that is driven by Brownian motions and subjected to Markov regime switching is considered. The new break-even concentration, i.e., critical value between persistence in mean and extinction is explored for the microorganism species. Moreover, sufficient conditions for ergodicity and positive recurrence is established by using stochastic Lyapunov analysis. Numerical simulations are accomplished to verify the analytical results.

Keywords: Stochastic chemostat; Regime switching; Persistence in mean; Extinction; Ergodicity (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:599:y:2022:i:c:s0378437122003338

DOI: 10.1016/j.physa.2022.127454

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