Stability analysis of a self-cycling fermentation model with state-dependent impulse times
A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refilling withnew fresh substrate. This article construc ts a modified model of self-cycling fermenter, which is described by an impulsive differential equation at impulse-dependent times, w...
| Autor Principal: | Cordova-Lepe, Fernando |
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| Otros Autores: | Del Valle-Salamanca, Rodrigo, Robledo, Gonzalo |
| Formato: | Artículo |
| Idioma: | English |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: |
http://repositorio.ucm.cl:8080/handle/ucm/1249 |
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| Sumario: |
A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refilling withnew fresh substrate. This article construc ts a modified model of self-cycling fermenter, which is described by an impulsive differential equation at impulse-dependent times, which have been recently introduced. The main result is a set of con-ditions depending of the fraction of removed volume, the concentration of new substrate introduced, and the maximal length between two impulses, which ensure the existence and attractiveness of a periodic cycle. A second result provides alternative conditions for the biomass extinction. |
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