Geometric ergodicity and ultimate boundedness of a stochastic chemostat model with general nutrient uptake function
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Publication:6202719
DOI10.1016/j.aml.2023.108939MaRDI QIDQ6202719
Publication date: 27 February 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
geometric ergodicityLyapunov conditionstochastic chemostat modelminorization conditionstochastically ultimate boundedness
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Biotechnology (92C75)
Cites Work
- Propagating Lyapunov functions to prove noise-induced stabilization
- Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
- Stationary distribution of a stochastic food chain chemostat model with general response functions
- The existence of stationary distribution of a stochastic delayed chemostat model
- Stochastic delay Lotka--Volterra model
- Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat
- The general chemostat model with multiple nutrients and flocculating agent: from deterministic behavior to stochastic forcing transition
- Ergodic stationary distribution of a stochastic chemostat model with regime switching
- A note on the stationary distribution of the stochastic chemostat model with general response functions
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- A note on the geometric ergodicity of a Markov chain
- The Theory of the Chemostat
- Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients
- A note on the stationary probability density function and covariance matrix of a stochastic chemostat model with distributed delay
- DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS
- The stochastic periodic behavior of a chemostat model with periodic nutrient input
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