Feedback-mediated coexistence and oscillations in the chemostat

zbMath1162.34039MaRDI QIDQ928341

Sergei S. Pilyugin, Willard S. Keeran, Patrick De Leenheer

Publication date: 18 June 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

chemostatsupercritical Hopf bifurcationoscillatory coexistencestate-dependent feedbacktranscritical bifurcation of limit cycles

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Bifurcations of singular points in dynamical systems (37G10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism ⋮ Remarks on output feedback stabilization of two-species chemostat models ⋮ Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients ⋮ Confidence domain in the stochastic competition chemostat model with feedback control ⋮ Stabilization of the chemostat system with mutations and application to microbial production ⋮ The effect of delay interval on the feedback control for a turbidostat model ⋮ The operating diagram for a model of competition in a chemostat with an external lethal inhibitor ⋮ Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat

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