Green behavior propagation analysis based on statistical theory and intelligent algorithm in data-driven environment

IF 1.9 4区 数学 Q2 BIOLOGY Mathematical Biosciences Pub Date : 2024-11-19 DOI:10.1016/j.mbs.2024.109340
Linhe Zhu , Yi Ding , Shuling Shen
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Abstract

The correlation between green behavior and energy efficiency is growing due to the heightened focus on energy efficiency among individuals. This paper introduces a three-layer network model to analyze the relationships among information diffusion, awareness and green behavior spreading. We have analyzed the probability tree of state transfer across 12 states by using Microscopic Markov Chain Approach (MMCA) and derived the state transfer equations for each state to compute the state transition threshold. In addition, we use the reaction–diffusion system to model the interaction between space and time changes for each state in the green behavior propagation layer. The equilibrium point of the system is defined, and the criteria for Turing bifurcation are identified. The optimal control approach achieves parameter identification, and this study validates the theory through several numerical simulations. Meanwhile, the effectiveness of parameter identification based on the convolutional neural network (CNN) and optimal control is compared. The data on China’s electrical energy generation is predicted and compared by using three neural networks and an autoregressive integrated moving average (ARIMA) model. Further, considering clean energy generation as a green behavior, we fit the data on the percentage of clean energy generation by applying a Microscopic Markov Chain model and a reaction–diffusion system.
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基于统计理论和智能算法的数据驱动环境下的绿色行为传播分析。
由于个人对能源效率的高度关注,绿色行为与能源效率之间的相关性日益增强。本文引入三层网络模型来分析信息扩散、意识和绿色行为传播之间的关系。我们采用微观马尔可夫链方法(MMCA)分析了 12 个状态的状态转移概率树,并推导出每个状态的状态转移方程,计算出状态转换阈值。此外,我们还利用反应-扩散系统来模拟绿色行为传播层中每个状态的空间和时间变化之间的相互作用。我们定义了系统的平衡点,并确定了图灵分岔的标准。最优控制方法实现了参数识别,本研究通过多次数值模拟验证了这一理论。同时,比较了基于卷积神经网络(CNN)和最优控制的参数识别效果。利用三个神经网络和一个自回归综合移动平均(ARIMA)模型对中国的发电量数据进行了预测和比较。此外,考虑到清洁能源发电是一种绿色行为,我们应用微观马尔可夫链模型和反应扩散系统对清洁能源发电比例数据进行了拟合。
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来源期刊
Mathematical Biosciences
Mathematical Biosciences 生物-生物学
CiteScore
7.50
自引率
2.30%
发文量
67
审稿时长
18 days
期刊介绍: Mathematical Biosciences publishes work providing new concepts or new understanding of biological systems using mathematical models, or methodological articles likely to find application to multiple biological systems. Papers are expected to present a major research finding of broad significance for the biological sciences, or mathematical biology. Mathematical Biosciences welcomes original research articles, letters, reviews and perspectives.
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