Properties of the chemostat model with aggregated biomass

Abstract : We revisit the well-known chemostat model, considering that bacteria can be attached together in aggregates or flocs. We distinguish explicitly free and attached compartments in the model and give sufficient conditions for coexistence of these two forms. We then study the case of fast attachment and detachment and shows how it is related to density-dependent growth functions. Finally, we give some insights concerning the cases of multi-specific flocs and different removal rates.
Keywords : 34A34 92D25 92B05 37N25
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https://hal.archives-ouvertes.fr/hal-01722120
Contributor : Alain Rapaport <>
Submitted on : Monday, March 5, 2018 - 2:39:45 PM
Last modification on : Thursday, February 7, 2019 - 4:03:38 PM
Long-term archiving on : Wednesday, June 6, 2018 - 12:35:34 PM

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Alain Rapaport. Properties of the chemostat model with aggregated biomass. European Journal of Applied Mathematics, Cambridge University Press (CUP), 2018, 29 (6), pp.972-990. ⟨https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/properties-of-the-chemostat-model-with-aggregated-biomass/3E812F304A0692D8D0D08F71C722E395⟩. ⟨10.1017/S0956792518000141⟩. ⟨hal-01722120⟩

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