奥地利食品市场的动态:Lotka-Volterra微分方程的应用

Romana Bauer, Florian Schwarzmayr, N. Brunner, M. Kühleitner
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引用次数: 3

摘要

有机食品市场已成为食品工业的重要组成部分。我们分析了奥地利2014年至2020年的销售数据,涉及6类25个产品组的124种产品,每种产品都是传统和有机形式。我们用修正的常系数Lotka-Volterra模型拟合了它们的市场份额。当只比较有机产品和传统产品时,25种有机产品中有15种的市场份额显著增加,这表明有机食品市场在持续增长。典型的Lotka-Volterra动力学是一种捕食者-猎物动力学,有机产品(组)以共生的传统产品为食。
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Dynamics of the Austrian Food Market: Application of Lotka-Volterra Differential Equations
The organic food market has become an important part of food industry. We analyze sales data from Austria for 2014 to 2020 of 124 products from 25 product groups in six categories, each in conventional and organic form. We fitted their market shares by means of a modified Lotka-Volterra model with constant coefficients. When only organic and conventional products were compared, a significant increase in market shares was observed for 15 of 25 organic product groups, indicating a continuing growth of the organic food market. The typical Lotka-Volterra dynamics was a predator-prey dynamics with an organic product (group) predating on conventional products that were in symbiosis.
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