Stability and Robustness Analysis for a Multispecies Chemostat Model with Delays in the Growth Rates and Uncertainties - Archive ouverte HAL Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series B Year : 2018

Stability and Robustness Analysis for a Multispecies Chemostat Model with Delays in the Growth Rates and Uncertainties

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Abstract

We study a chemostat model with an arbitrary number of competing species, one substrate, and constant dilution rates. We allow delays in the growth rates and additive uncertainties. Using constant inputs of certain species, we derive bounds on the sizes of the delays that ensure asymptotic stability of an equilibrium when the uncertainties are zero, which can allow persistence of multiple species. Under delays and uncertainties, we provide bounds on the delays and on the uncertainties that ensure input-to-state stability with respect to uncertainties.
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Dates and versions

hal-01918273 , version 1 (10-11-2018)

Identifiers

  • HAL Id : hal-01918273 , version 1

Cite

Frédéric Mazenc, Gonzalo Robledo, Michael Malisoff. Stability and Robustness Analysis for a Multispecies Chemostat Model with Delays in the Growth Rates and Uncertainties. Discrete and Continuous Dynamical Systems - Series B, 2018. ⟨hal-01918273⟩
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