Multiple steady state profiles in interconnected biological systems

DOI10.1080/13873950600723277zbMath1126.92047OpenAlexW2130215076WikidataQ113849842 ScholiaQ113849842MaRDI QIDQ5436378

Alain Rapaport, Claude Lobry, Jérôme Harmand, Abdou K. Dramé

Publication date: 16 January 2008

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873950600723277

zbMATH Keywords

convergenceinterconnected systemsmultiple steady statesHaldane kinetic modelsubstrate inhibited kinetics

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Analysis of a continuously stirred two tank reactor cascade with Haldane kinetics ⋮ Multiple stable equilibrium profiles in tubular bioreactors ⋮ Operations’ decision making under uncertainty: case studies on papermaking ⋮ Global dynamics of the buffered chemostat for a general class of response functions

Cites Work

• Nonlinear control systems. II
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• The Theory of the Chemostat

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