Analysis of an anaerobic digestion model in landfill with mortality term

Salih Ouchtout (1, 2) , Zoubida Mghazli (1) , Jérôme Harmand (3) , Alain Rapaport (4) , Zakaria 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 functions, this set is non connected, which impacts the performances of the bioprocess.

Mots clés: biogas production; non- hyperbolic equilibrium; ordinary differential equations; bioprocesses

Domaines: Systèmes dynamiques [math.DS]; Ingénierie de l'environnement; Biotechnologies

Salih Ouchtout, Zoubida Mghazli, Jérôme Harmand, Alain Rapaport, Zakaria Belhachmi. Analysis of an anaerobic digestion model in landfill with mortality term. Communications in Pure and Applied Analysis, 2020, 19 (4), pp.2333-2346. ⟨10.3934/cpaa.2020101⟩. ⟨hal-02315887⟩