Dynamics of Nonautonomous Chemostat Models

DOI10.1007/978-3-319-19075-4_6zbMath1335.92062OpenAlexW1032815396MaRDI QIDQ2803687

Alain Rapaport, Xiaoying Han, Peter E. Kloeden, Tomás Caraballo Garrido

Publication date: 2 May 2016

Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/32731

zbMATH Keywords

chemostatautonomous systemsnonautonomous pullback attractor

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Physiological, cellular and medical topics (92C99)

Related Items (7)

Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics ⋮ Dynamical analysis of chemotherapy models with time-dependent infusion ⋮ A nonautonomous chemostat model for the growth of gut microbiome with varying nutrient ⋮ Random and stochastic disturbances on the input flow in chemostat models with wall growth ⋮ Dynamics of a chemostat with periodic nutrient supply and delay in the growth ⋮ Contributions to nonstationary community theory ⋮ Stability analysis of mathematical model of competition in a chain of chemostats in series with delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discretization of asymptotically stable stationary solutions of delay differential equations with a random stationary delay
• Introduction to functional differential equations
• Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
• Qualitative properties of chemostat equations with time delays. II
• The Freter model: A simple model of biofilm formation
• Pullback incremental attraction
• Chemostats with random inputs and wall growth
• Dynamic Models and Control of Biological Systems
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• The Simple Chemostat with Wall Growth
• The Theory of the Chemostat
• Nonautonomous Chemostats with Variable Delays
• Attractors for differential equations with variable delays

This page was built for publication: Dynamics of Nonautonomous Chemostat Models