ANALYSIS OF A CHEMOSTAT MODEL WITH PULSED INPUT

DOI10.1142/S0218339006001994zbMath1122.92068OpenAlexW2096271008MaRDI QIDQ3445573

Xiangyun Shi, Xinyu Song

Publication date: 12 June 2007

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339006001994

zbMATH Keywords

ExtinctionPermanenceImpulsive effect

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Unnamed Item
• Competition for fluctuating nutrient
• Bifurcation and complexity of Monod type predator--prey system in a pulsed chemostat
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Chaos in a food chain chemostat with pulsed input and washout
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

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