Rumor, as a form of information, can be widely spread in a short time. A host of researchers focus on the spread of rumor, aiming to explore the rules of rumor spreading and put forward effective measures to help control the spread of rumor. In real life, when the individual is not interested in the rumor spread or feels that the rumor is not related to him, it is easy to trigger the individual’s vigilance awareness. On the contrary, if the rumor is more closely related to the individual’s life, the individual will usually be less alert and have great motivation to share it with friends. Based on the typical Susceptible–Infected–Recovered (SIR) model, a new vigilant state is added to describe the above phenomenon and a Susceptible–Vigilant–Infectious–Recovered (SVIR) rumor model is proposed. In addition, considering the fact that the infectious with high emotion may cause emotional resonance among individuals, this model adds a connection edge from the recovered to the infectious triggered by emotional infection. Based on the obtained dynamic equations, the steady state of the model is analyzed by utilizing basic reproduction number method and verified on the generated homogeneous network as well as Facebook network. Simulation results reveal that the improvement of individual vigilance awareness can reduce the influence of rumor. Although high emotional infectious can promote the spread of rumor, appealing them to clarify the fact for curbing rumor spreading is a forceful measure.

中文翻译：

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社交网络中考虑个体警觉意识和情绪的SVIR谣言传播模型

谣言作为一种信息形式，可以在短时间内广泛传播。众多研究者关注谣言传播，旨在探索谣言传播规律，提出有效措施，帮助控制谣言传播。在现实生活中，当个人对谣言传播不感兴趣或觉得谣言与自己无关时，很容易引发个人的警惕意识。相反，如果谣言与个人的生活关系更密切，个人通常会不那么警觉，并有很大的动机与朋友分享。在典型的易感-感染-恢复（SIR）模型的基础上，增加了一种新的警戒状态来描述上述现象，并提出了易感-警戒-感染-恢复（SVIR）谣言模型。此外，考虑到情绪高涨的感染者可能会引起个体之间的情绪共鸣，该模型增加了从康复者到情绪感染引发的感染者的连接边。在得到的动态方程的基础上，利用基本再生数法对模型的稳态进行分析，并在生成的同构网络和Facebook网络上进行了验证。仿真结果表明，个体警觉意识的提高可以降低谣言的影响。虽然高情绪感染力可以促进谣言传播，但呼吁他们澄清事实是遏制谣言传播的有力措施。在得到的动态方程的基础上，利用基本再生数法对模型的稳态进行分析，并在生成的同构网络和Facebook网络上进行了验证。仿真结果表明，个体警觉意识的提高可以降低谣言的影响。虽然高情绪感染力可以促进谣言传播，但呼吁他们澄清事实是遏制谣言传播的有力措施。在得到的动态方程的基础上，利用基本再生数法对模型的稳态进行分析，并在生成的同构网络和Facebook网络上进行了验证。仿真结果表明，个体警觉意识的提高可以降低谣言的影响。虽然高情绪感染力可以促进谣言传播，但呼吁他们澄清事实是遏制谣言传播的有力措施。