A Lyapunov function for the chemostat with variable yields

DOI10.1016/j.crma.2010.06.008zbMath1194.92077OpenAlexW2064184852MaRDI QIDQ990201

Tewfik Sari

Publication date: 6 September 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.06.008

Mathematics Subject Classification ID

Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Competition for a single resource and coexistence of several species in the chemostat ⋮ Competitive exclusion for chemostat equations with variable yields ⋮ Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses ⋮ Stability of the chemostat system including a linear coupling between species ⋮ A BIOLOGICAL PROCESS SUBJECT TO NONCOMPETITIVE SUBSTRATE INHIBITION IN A GENERALIZED FLOW REACTOR

Cites Work

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• Multiple limit cycles in the chemostat with variable yield
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species
• Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
• Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
• The Theory of the Chemostat

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