Study of a virus–bacteria interaction model in a chemostat: application of geometrical singular perturbation theory

DOI10.1098/rsta.2009.0132zbMath1192.34056OpenAlexW2109445725WikidataQ51646092 ScholiaQ51646092MaRDI QIDQ3579047

Flora Cordoleani, Pierre Auger, Tri Nguyen-Huu, Jean-Christophe Poggiale

Publication date: 5 August 2010

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2009.0132

zbMATH Keywords

singular perturbationreductioninvariant manifoldvirus-bacteria interaction

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

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Modelling, singular perturbation and bifurcation analyses of bitrophic food chains ⋮ Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions

Cites Work

• Unnamed Item
• Geometric singular perturbation theory for ordinary differential equations
• Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
• On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
• Modeling and analysis of a marine bacteriophage infection
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems
• Food chain chaos due to Shilnikov’s orbit

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