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arXiv 2103.15577physics.soc-phcs.SI
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社会距离对孤独感影响的随机模型

A stochastic model for the influence of social distancing on loneliness

José F. Fontanari

摘要:

为遏制新型冠状病毒(COVID-19,即2019冠状病毒病)传播而采取的关键措施的短期经济后果是众所周知的,但这些措施导致的隔离和孤独对人口心理健康的影响及其随后的长期经济影响在很大程度上是未知的。在这里,我们提供了一个随机的基于代理的模型来研究社会限制措施在一个社区的代理人的孤独感减少时,他们正在社交和增长时,他们是孤独的。此外,这些感觉的强度,这是衡量一个真正的变量,我们称之为孤独的程度,决定了代理人是否会寻求社会接触或没有。我们发现,社会交往的数量,质量或持续时间的减少导致社会进入一个政权的倦怠,其中的孤独程度的分歧,虽然在给定的时刻孤独的代理商的数量只占总人口的一小部分。这种精神崩溃的状态与孤独程度有限的健康状态是由一个连续的相变分开的。我们表明,社区动态是非常好地描述了一个简单的平均场论,所以我们的结论可以很容易地验证不同的情况和参数设置。倦怠症的出现清楚地说明了社交距离的副作用,这让我们中的许多人在身体感染和精神崩溃之间做出选择。

英文摘要:

The short-term economic consequences of the critical measures employed to curb the transmission of Covid-19 are all too familiar, but the consequences of isolation and loneliness resulting from those measures on the mental well-being of the population and their ensuing long-term economic effects are largely unknown. Here we offer a stochastic agent-based model to investigate social restriction measures in a community where the feelings of loneliness of the agents dwindle when they are socializing and grow when they are alone. In addition, the intensity of those feelings, which are measured by a real variable that we term degree of loneliness, determines whether the agent will seek social contact or not. We find that decrease of the number, quality or duration of social contacts lead the community to enter a regime of burnout in which the degree of loneliness diverges, although the number of lonely agents at a given moment amounts to only a fraction of the total population. This regime of mental breakdown is separated from the healthy regime, where the degree of loneliness is finite, by a continuous phase transition. We show that the community dynamics is described extremely well by a simple mean-field theory so our conclusions can be easily verified for different scenarios and parameter settings. The appearance of the burnout regime illustrates neatly the side effects of social distancing, which give to many of us the choice between physical infection and mental breakdown.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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