Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations

DOI10.1142/S0219493722400020zbMath1501.34041MaRDI QIDQ5083415

Javier López-de-la-Cruz, Alain Rapaport, Tomás Caraballo Garrido

Publication date: 20 June 2022

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

randomdiffusionchemostatinterconnectionOrnstein-Uhlenbeck

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth ⋮ Extinction and strong persistence in the Beddington–DeAngelis predator–prey random model

Cites Work

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• Positive solutions of a competition model for two resources in the unstirred chemostat
• Mathematical investigations of growth of microorganisms in the gradostat
• A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor
• The growth of pure and simple microbial competitors in a moving distributed medium
• Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
• Effects of spatial structure and diffusion on the performances of the chemostat
• Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate
• Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
• Analysis and optimization of the chemostat model with a lateral diffusive compartment
• A way to model stochastic perturbations in population dynamics models with bounded realizations
• Modeling and analysis of random and stochastic input flows in the chemostat model
• Dynamics of some stochastic chemostat models with multiplicative noise
• Multiple stable equilibrium profiles in tubular bioreactors
• Applied Nonautonomous and Random Dynamical Systems
• Some Aspects Concerning the Dynamics of Stochastic Chemostats
• Competition in an n-Vessel Gradostat
• The Chemostat
• Random and stochastic disturbances on the input flow in chemostat models with wall growth

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