Uniqueness of limit cycles for a limiting case of the chemostat: does it justify the use of logistic growth rates?

DOI10.14232/EJQTDE.2015.1.47zbMath1349.34166OpenAlexW1886581080MaRDI QIDQ2803175

Torsten Lindström, Yuanji Cheng

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.47

zbMATH Keywords

global stabilitychemostat modeluniqueness of limit cycles

Mathematics Subject Classification ID

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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