$ K_h$ | $Y $ | $f_1 $ | $ f_2$ | $ \alpha$ |
0.176 | 0.05 | 0.7 | 0.76 | 0.9 |
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.
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Figure 5. Threshold on $ X_0 $ as a function of $ K_d $ for model parameters indicated in Table 1
$ K_h$ | $Y $ | $f_1 $ | $ f_2$ | $ \alpha$ |
0.176 | 0.05 | 0.7 | 0.76 | 0.9 |
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Overall scheme of the anaerobic degradation of organic matter
Graphs of Monod and Haldane functions
Graph of the Haldane function considered in the example
Graph of
Threshold on
Biogas production as a function of