PERMANENCE, AVERAGE PERSISTENCE AND EXTINCTION IN NONAUTONOMOUS SINGLE-SPECIES GROWTH CHEMOSTAT MODELS

DOI10.1142/S0219525906000616zbMath1107.92055OpenAlexW1970794840WikidataQ114614493 ScholiaQ114614493MaRDI QIDQ3427010

Mehbuba Rehim, Zhi-Dong Teng

Publication date: 14 March 2007

Published in: Advances in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219525906000616

zbMATH Keywords

boundednesspersistenceextinctionchemostatpermanencedilution rateremoval ratenonautonomous modelaverage persistencealmost periodic model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for ordinary differential equations (34D99)

Related Items (5)

Competition in the chemostat with time-dependent differential removal rates ⋮ Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth ⋮ Dynamics of a chemostat with periodic nutrient supply and delay in the growth ⋮ Nonlinear modelling of chemostat model with time delay and impulsive effect ⋮ Extinction and permanence of chemostat model with pulsed input in a polluted environment

Cites Work

• Delay differential equations: with applications in population dynamics
• Competing predators for a prey in a chemostat model with periodic nutrient input
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Global attractivity in a periodic chemostat with general uptake functions
• Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
• Simple food chain in a chemostat with distinct removal rates
• Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications
• Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay

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