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Article Dans Une Revue Mathematical Biosciences and Engineering Année : 2008

Biological control of the chemostat with nonmonotonic response and different removal rates

Alain Rapaport
Water Resource Modeling
Analyse des Systèmes et Biométrie
CV
Jérôme Harmand
Laboratoire de Biotechnologie de l'Environnement [Narbonne]
CV

Résumé

We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a "biological" control, in presence of different removal rates for each species. This result is obtained by an extension of the Competitive Exclusion Principle in the chemostat, for the case of two species with different removal rates and at least one nonmonotonic response.

Domaines

Systèmes dynamiques [math.DS] Ecologie, Environnement

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https://inria.hal.science/hal-00857810

Soumis le : mercredi 4 septembre 2013-10:02:43

Dernière modification le : jeudi 14 mars 2024-03:10:10

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Dates et versions

hal-00857810 , version 1 (04-09-2013)

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Alain Rapaport, Jérôme Harmand. Biological control of the chemostat with nonmonotonic response and different removal rates. Mathematical Biosciences and Engineering, 2008, 5 (3), pp.539-547. ⟨10.3934/mbe.2008.5.539⟩. ⟨hal-00857810⟩

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