基于传染病模型的恐慌情绪研究

陈卫明,周豪洁,张奕莹,杨海强,李志攀

系统科学与数学 ›› 2019, Vol. 39 ›› Issue (4) : 629-636.

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系统科学与数学 ›› 2019, Vol. 39 ›› Issue (4) : 629-636. DOI: 10.12341/jssms13619
论文

基于传染病模型的恐慌情绪研究

    陈卫明,周豪洁,张奕莹,杨海强,李志攀
作者信息 +

Study on Panic Based on an Epidemic Model

    CHEN Weiming ,ZHOU Haojie, ZHANG Yiying, YANG Haiqiang ,LI Zhipan
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摘要

针对突发事件下群体恐慌情绪影响群体行为反应问题, 根据现实恐慌情绪特点, 结合心 理学人格特征理论, 将复杂群体分为松弛型群体和急躁型群体, 借鉴传统传染病SIR传播模型, 引入 群体与环境的影响因素κ, 建立恐慌情绪传播模型. 数值模拟结果表明:急躁群体的感染和恢复 过程比较强烈, 而松弛群体情绪比较稳定, 恐慌情绪恢复较为缓慢;感染率对恐慌情绪传播具有双 重作用, 一方面提升恐慌情绪传播速度, 另一方面增加群体情绪恢复能力;恢复率的提升加快恐慌 情绪的传播, 同时有效降低恐慌程度;增加接触率能够促进恐慌情绪传播, 提升恐慌程度.

Abstract

According to the characteristics of panic and the psychotic personality characteristics theory, the complex groups are divided into relaxation groups and impetuous groups, and the traditional infectious disease SIR propagation model is introduced into the group. With the environmental impact factor, a panic contagion model was established. Numerical simulation results show that the impatient group's infection and recovery process is relatively strong, while the relaxation group's mood is relatively stable, the panic sentiment recovery is relatively slow; infection rate has a dual role in the spread of panic. On the one hand, it increases the speed of panic spread. On the other hand, the exchange of groups increases the emotional recovery of the group. The recovery rate will speed up the spread of panic, and effectively reduce the level of panic. Increasing the contact rate can promote the spread of panic and enhance the level of panic.

关键词

突发事件 / 恐慌情绪 / 传染病模型.

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陈卫明 , 周豪洁 , 张奕莹 , 杨海强 , 李志攀. 基于传染病模型的恐慌情绪研究. 系统科学与数学, 2019, 39(4): 629-636. https://doi.org/10.12341/jssms13619
CHEN Weiming , ZHOU Haojie , ZHANG Yiying , YANG Haiqiang , LI Zhipan. Study on Panic Based on an Epidemic Model. Journal of Systems Science and Mathematical Sciences, 2019, 39(4): 629-636 https://doi.org/10.12341/jssms13619
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