DYNAMICS OF FERMENTATION MODELS FOR THE PRODUCTION OF DRY AND SWEET WINE

Description

In thisworkweconsidertwoclassicalmathematicalmodelsofwine fermentation.Thefirstmodeldescribesthewine-makingprocessthatisused to producedrywine.Thesecondmodelisobtainedbyintroducingatermin the equationofthedynamicsoftheyeast.Thankstothischangeitwillbe possibletoinhibitthefermentationofthesugarandasaconsequenceasweet wine willbeobtained.Wefirstprovetheexistence,uniqueness,positiveness and boundednessofsolutionsforbothmodels.Thenwepasstoanalysethe the long-timedynamics.Forthesecondmodelwealsoprovideestimatesfor the concentrationofethanol,nitrogenandsugarattheendoftheprocess. Moreover,severalnumericalsimulationsareprovidedtosupportthetheoretical results.

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