Global stability in a chemostat with multiple nutrients

DOI10.1007/s00285-005-0344-4zbMath1094.92058OpenAlexW2123399095WikidataQ51251931 ScholiaQ51251931MaRDI QIDQ2500110

Simon A. Levin, Patrick De Leenheer, Eduardo D. Sontag, Christopher A. Klausmeier

Publication date: 23 August 2006

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-005-0344-4

Mathematics Subject Classification ID

Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items

The evolution of resource adaptation: how generalist and specialist consumers evolve, Monotone chemical reaction networks, Mathematical analysis of a chemostat system modeling the competition for light and inorganic carbon with internal storage, Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat, Basic Reproduction Ratios for Time-Periodic Homogeneous Evolution Systems, A model of flexible uptake of two essential resources, On the global attractivity of monotone random dynamical systems, Global dynamics of microbial competition for two resources with internal storage, Stability analysis of mathematical model of competition in a chain of chemostats in series with delay, Modeling and stability analysis of a microalgal pond with nitrification

Cites Work

• Unnamed Item
• Complex dynamics in a model microbial system
• The attractiveness of the Droop equations
• Periodic response to periodic forcing of the Droop equations for phytoplankton growth
• The periodically forced Droop model for phytoplankton growth in a chemostat
• Periodic coexistence of four species competing for three essential resources
• Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient
• Dynamical systems and their applications in biology
• How Many Species Can Two Essential Resources Support?
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• Competition for a Single Limiting Resource in Continuous Culture: The Variable-Yield Model
• On the Global Stability of Cooperative Systems
• The Theory of the Chemostat
• A remark on the converging-input converging-state property
• Periodic coexistence in the chemostat with three species competing for three essential resources