Analysis of an anaerobic digestion model in landfill with mortality term. (English) Zbl 1441.37099
Summary: 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.
MSC:
| 37N25 | Dynamical systems in biology |
| 93D20 | Asymptotic stability in control theory |
| 34C11 | Growth and boundedness of solutions to ordinary differential equations |
| 34D35 | Stability of manifolds of solutions to ordinary differential equations |
| 92C30 | Physiology (general) |
| 92C50 | Medical applications (general) |
Keywords:
bioprocesses; biogas production; ordinary differential equations; non-hyperbolic equilibriumReferences:
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