Crowding effects promote coexistence in the chemostat

• Published in: Journal of mathematical analysis and applications Vol. 319; no. 1; pp. 48 - 60
• Main Authors: De Leenheer, Patrick, Angeli, David, Sontag, Eduardo D.
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 01.07.2006; Elsevier
• Subjects: Chemostat; Coexistence; Crowding; Exact sciences and technology; Feedback systems; Global analysis, analysis on manifolds; Mathematical analysis; Mathematics; Monotone systems; Ordinary differential equations; Sciences and techniques of general use; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Coexistence; Monotone systems; Chemostat; Feedback systems; Crowding; Input output; Monotone system; Sufficient condition; Feedback system; Mathematical analysis; Interconnection

This paper deals with an almost-global stability result for a particular chemostat model. It deviates from the classical chemostat because crowding effects are taken into consideration. This model can be rewritten as a negative feedback interconnection of two systems which are monotone (as input/out...