Fisher information approach to understand the Gompertz model

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2022-12-26 DOI:10.5206/mase/15447
A. Al-Saffar, Eun-jin Kim
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引用次数: 1

Abstract

As a measure of sustainability, Fisher information is employed in the Gompertz growth model. The effect of different oscillatory modulations is examined on the system's evolution and Probability Density Function (PDF). For a sufficiently large frequency of periodic fluctuations occurring in both positive and negative feedbacks, the system maintains its initial conditions. A similar PDF is shown regardless of the initial values when there are periodic fluctuations in positive feedback. By periodic fluctuations in negative feedback, the Gompertz model can lose its self-organization. Finally, despite the fact that the Gompertz and logistic systems evolve differently over time, the results show that they are exceptionally similar in terms of information and sustainability.
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理解Gompertz模型的Fisher信息方法
作为可持续性的衡量标准,Fisher信息被用于Gompertz增长模型。研究了不同振荡调制对系统演化和概率密度函数(PDF)的影响。对于在正反馈和负反馈中发生的周期性波动的足够大的频率,系统保持其初始条件。当正反馈中存在周期性波动时,无论初始值如何,都会显示类似的PDF。由于负反馈的周期性波动,Gompertz模型可能会失去自组织性。最后,尽管Gompertz和物流系统随着时间的推移发展不同,但结果表明,它们在信息和可持续性方面异常相似。
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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