To avoid social and economic losses, governments need to control rumor propagation by releasing official rumor-refuting information (ORI) to dispel the rumors. Therefore, understanding the complex competition mechanism between ORI and rumors is key to successfully refuting rumors. This paper presents an in-depth analysis of the function of ORI in suppressing and quashing rumors. First, the influencing factors were determined from which a competition model was constructed and the quenched mean-field method employed to determine the rumor outbreak threshold. It was found that public cognition could affect the rumor threshold and lead to rumor depletion, which was confirmed in a model simulation. The simulation results also indicated that government credibility and the release time of ORI played a critical role in controlling rumors. Specifically, it was found that when government credibility was high, the ORI release was able to quash the rumor spread. And it is shown that the government should release the ORI as soon as possible, and ensure the continuous dissemination of ORI to dispel rumors effectively.

中文翻译：

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考虑官方辟谣信息干预的谣言控制竞争模型

为了避免社会和经济损失，政府需要通过发布官方辟谣信息（ORI）来消除谣言，从而控制谣言传播。因此，了解ORI与谣言之间复杂的竞争机制是成功辟谣的关键。本文深入分析了ORI在抑制和消除谣言方面的作用。首先，确定了构建竞争模型的影响因素，并采用淬火平均场法确定谣言爆发阈值。研究发现，公众认知会影响谣言阈值并导致谣言枯竭，并在模型模拟中得到证实。模拟结果还表明，政府公信力和ORI的发布时间在控制谣言方面发挥了关键作用。具体来说，结果发现，在政府公信力高的情况下，ORI的发布能够平息谣言的传播。并表明政府应尽快发布ORI，并确保ORI的持续传播以有效消除谣言。