We introduce a mathematical model for the composting process in biocells where several chemical phenomena, like the aerobic biodegradation, the hydrolysis of insoluble substrate and the biomass decay, occur. We investigate the best aeration strategies in presence of inhibition processes due to high concentrations of oxygen. Optimal stategries are obtained as result of a suitable optimal control problem. The dynamics exhibits an enhanced level of the oxygen concentration that guarantees the aerobic feature of the biodegradation process. Then, a nonlinear bioeconomic term is included in the objective functional to take into account of the external operational cost. The role of the economic cost in the control policy is analyzed and discussed.

On the  role of inhibition processes in modeling control strategies for  composting plants / G. Martalò, C. Bianchi, B. Buonomo, M. Chiappini, V. Vespri. - STAMPA. - (2020), pp. 125-145. (Intervento presentato al convegno Current Trends in Dynamical Systems in Biology  and Natural Sciences) [10.1007/978-3-030-41120-6_7].

On the  role of inhibition processes in modeling control strategies for  composting plants.

V. Vespri
2020

Abstract

We introduce a mathematical model for the composting process in biocells where several chemical phenomena, like the aerobic biodegradation, the hydrolysis of insoluble substrate and the biomass decay, occur. We investigate the best aeration strategies in presence of inhibition processes due to high concentrations of oxygen. Optimal stategries are obtained as result of a suitable optimal control problem. The dynamics exhibits an enhanced level of the oxygen concentration that guarantees the aerobic feature of the biodegradation process. Then, a nonlinear bioeconomic term is included in the objective functional to take into account of the external operational cost. The role of the economic cost in the control policy is analyzed and discussed.
2020
Current Trends in Dynamical Systems in Biology  and Natural Sciences
Current Trends in Dynamical Systems in Biology  and Natural Sciences
G. Martalò, C. Bianchi, B. Buonomo, M. Chiappini, V. Vespri
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1196494
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