Dynamics of some stochastic chemostat models with multiplicative noise

DOI10.3934/cpaa.2017092zbMath1367.34056OpenAlexW2618413628MaRDI QIDQ2357764

Javier López-de-la-Cruz, María J. Garrido-Atienza, Tomás Caraballo Garrido

Publication date: 14 June 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017092

zbMATH Keywords

stochastic differential equationsrandom dynamical systemschemostatrandom attractorsmultiplicative noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) 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) Attractors of solutions to ordinary differential equations (34D45)

Related Items (14)

Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain ⋮ Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics ⋮ Corrigendum to: ``A way to model stochastic perturbations in population dynamics models with bounded realizations ⋮ Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations ⋮ A new idea on density function and covariance matrix analysis of a stochastic SEIS epidemic model with degenerate diffusion ⋮ Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth ⋮ A way to model stochastic perturbations in population dynamics models with bounded realizations ⋮ Random and stochastic disturbances on the input flow in chemostat models with wall growth ⋮ Unnamed Item ⋮ A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise ⋮ Backward compact and periodic random attractors for non-autonomous sine-Gordon equations with multiplicative noise ⋮ Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate ⋮ Unnamed Item ⋮ Density function analysis for a stochastic SEIS epidemic model with non-degenerate diffusion

Cites Work

• Unnamed Item
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• Unnamed Item
• Time averages, recurrence and transience in the stochastic replicator dynamics
• Stochastic evolutionary game dynamics
• Random environments and stochastic calculus
• Evolutionary dynamics with aggregate shocks
• Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
• Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
• Pullback attractors for asymptotically compact non-autonomous dynamical systems
• Attractors for stochastic lattice dynamical systems with a multiplicative noise
• Exclusion and persistence in deterministic and stochastic chemostat models
• Coexistence in chemostat-like models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Chemostats with random inputs and wall growth
• Applied Nonautonomous and Random Dynamical Systems
• Some Aspects Concerning the Dynamics of Stochastic Chemostats
• Microbial Competition
• Dynamic Models and Control of Biological Systems
• The Theory of the Chemostat
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• ON THE REPLICATOR DYNAMICS BEHAVIOR UNDER STRATONOVICH TYPE RANDOM PERTURBATIONS

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