Analysis of a model for the effects of an external toxin on anaerobic digestion.
Anaerobic digestion has been modeled as a two-stage process using coupled chemostat models with non-monotone growth functions, [9]. This study incorporates the effects of an external toxin. After reducing the model to a 3-dimensional system, global stability of boundary and interior equilibria is proved using differential inequalities and comparisons to the corresponding toxin-free model. Conditions are given under which the behavior of the toxin-free model is preserved. Introduction of the toxin results in additional patterns such as bistabilities of coexistence steady states or of a periodic orbit and an interior steady state.
Dominican University, River Forest, IL 60305, United States. mweederm@dom.edu
Marion
M
Weedermann
D000900:Anti-Bacterial Agents / Q000494:pharmacology*; D001421:Bacteria, Anaerobic / Q000187:drug effects / Q000378:metabolism*; D019149:Bioreactors / Q000382:microbiology; D004063:Digestion / Q000502:physiology*; D008697:Methane / Q000096:biosynthesis; D008954:Models, Biological
D000900:Anti-Bacterial Agents; D008697:Methane