Abstract

The process of dissemination of information in society among its possible adherents (individuals who perceive this information) in the presence of mistrust, which means a decrease in the level of interest in assimilating the proposed information, is considered. It is assumed that the degree of influence of distrust is determined by the hype, i.e., the rate of change in the number of adherents over time. A mathematical model of this process, which is the Cauchy problem for a nonlinear ordinary differential equation depending on several numerical parameters, is considered. As a result of the study, the conditions are formulated that must be satisfied by the parameters of the problem for its correct solvability. The obtained conditions, in addition, can be used in forecasting and modeling the described modes of the studied process.

中文翻译：

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炒作条件下的社会信息传播动态

摘要

考虑在不信任的情况下，在社会中可能的追随者（感知此信息的个人）之间传播信息的过程，这意味着在同化建议信息方面的兴趣水平下降。假设不信任的影响程度由炒作决定，即追随者数量随时间的变化率。考虑了该过程的数学模型，即取决于多个数值参数的非线性常微分方程的柯西问题。作为研究的结果，制定了问题参数必须满足的条件才能正确求解。此外，获得的条件可用于对所研究过程的描述模式进行预测和建模。