A size-structured model for the nutrient-driven self-cycling fermentation process

Self-cycling fermentation is a computer-aided process used for culturing microorganisms. Applications include sewage treatment and toxic waste cleanup. We consider a model of self-cycling fermentation with nutrient level as the triggering factor. The model is formulated in terms of impulsive ordinary and partial differential equations and refined to include the size of the microorganisms. A threshold is determined in terms of biologically …