Analysis of an anaerobic digestion model in landfill with mortality term

S. Ouchtout (1, 2) , Z. Mghazli (1) , J. Harmand (3) , Alain Rapaport (4) , Z. Belhachmi (2)

1 Interdisciplinary Laboratory for Natural Resources and Environment
2 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]
3 LBE - Laboratoire de Biotechnologie de l'Environnement [Narbonne]
4 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

We study a mathematical model of anaerobic digestion with biomass recirculation, dedicated to landfill problems, and analyze its asymptotic behavior. We show that the global attractor is composed of an infinity of non-hyperbolic equilibria. For non-monotonic growth function, this feature has impacts on the performances of the bioprocess.

Mots clés: bioprocesses; biogas production; ordinary differential equations; Center Manifold Theorem; Barbalat's Lemma

Domaines: Systèmes dynamiques [math.DS]; Génie des procédés

S. Ouchtout, Z. Mghazli, J. Harmand, Alain Rapaport, Z. Belhachmi. Analysis of an anaerobic digestion model in landfill with mortality term. 2019. ⟨hal-02265820v1⟩