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The dynamics analysis of a new wine fermentation model

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Abstract

Fermentation is an indispensable link in wine brewing, and mathematical modeling is an effective means to study fermentation process, which can reveal the characteristics of state variables and help to optimize the control of fermentation process. In this paper, a new model with fractional derivative of the wine fermentation is proposed. The basic properties of the solution and the stability at the equilibrium point of the new model are proved. Then the numerical simulation of the fractional wine fermentation model is given by the generalized Euler method. Compared with the classical integer order wine fermentation model, the new fractional wine fermentation model proposed in the article is more responsive and reflects more comprehensive trends through qualitative and quantitative analysis. We expect that this fractional wine fermentation model can be applied to wine production in real world, which is beneficial for oenologists to grasp all kinds of data more accurately, thus improving the quality of wine.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, 030031, Shanxi, China

    Ningning Huang, Guotao Wang & Tingting Guan

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  1. Ningning Huang
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  2. Guotao Wang
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  3. Tingting Guan
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Correspondence to Guotao Wang.

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Huang, N., Wang, G. & Guan, T. The dynamics analysis of a new wine fermentation model. J. Appl. Math. Comput. 70, 3731–3747 (2024). https://doi.org/10.1007/s12190-024-02106-3

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  • DOI: https://doi.org/10.1007/s12190-024-02106-3

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Mathematics Subject Classification (2020)