Coexistence in the design of a series of two chemostats

DOI10.1016/J.NONRWA.2007.02.003zbMath1139.92319OpenAlexW1989421883MaRDI QIDQ933574

Alain Rapaport, Jérôme Harmand, Frederic Mazenc

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.02.003

zbMATH Keywords

chemostat modelcoexistenceexclusion principle

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Existence and uniqueness of solution of a continuous flow bioreactor model with two species ⋮ Practical coexistence of two species in the chemostat -- a slow-fast characterization ⋮ Global dynamics of the buffered chemostat for a general class of response functions ⋮ Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat

Cites Work

• Competition for fluctuating nutrient
• Crowding effects promote coexistence in the chemostat
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions
• The Theory of the Chemostat

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