Global attractivity in a periodic chemostat with general uptake functions

DOI10.1006/jmaa.2000.6757zbMath0997.92040OpenAlexW1966416510MaRDI QIDQ1587428

Qiu-Liang Peng, Herb I. Freedman

Publication date: 13 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6757

zbMATH Keywords

global monotonicity of attracting solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth ⋮ Multiplicity of Neutrally Stable Periodic Orbits with Coexistence in the Chemostat Subject to Periodic Removal Rate ⋮ Dynamics of a chemostat with periodic nutrient supply and delay in the growth ⋮ PERMANENCE, AVERAGE PERSISTENCE AND EXTINCTION IN NONAUTONOMOUS SINGLE-SPECIES GROWTH CHEMOSTAT MODELS ⋮ Existence of positive periodic solutions of several types of biological models with periodic coefficients

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