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Modelling of biological decontamination of a water resource in natural environment and related feedback strategies

Sébastien Barbier 1, 2, 3 Alain Rapaport 1, 2 Antoine Rousseau 4, 3
2 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
3 LEMON - Littoral, Environment: MOdels and Numerics
CRISAM - Inria Sophia Antipolis - Méditerranée , HSM - Hydrosciences Montpellier, IMAG - Institut Montpelliérain Alexander Grothendieck
Abstract : We show how to combine numerical schemes and adjustement of systems of o.d.e. to provide efficient feedback strategies for the biological decontamination of water resources. For natural resources, we impose to do no introduce any bacteria in the resource and to treat it aside preserving a constant volume of the resource at any time. The feedback strategies are derived from the minimal time synthesis of the system of o.d.e.
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Submitted on : Friday, January 29, 2016 - 12:03:19 PM
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Sébastien Barbier, Alain Rapaport, Antoine Rousseau. Modelling of biological decontamination of a water resource in natural environment and related feedback strategies. Journal of Scientific Computing, Springer Verlag, 2016, 68 (3), pp.1267-1280. ⟨10.1007/s10915-016-0178-9⟩. ⟨hal-01138335v4⟩

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