Rumors, as a typical social phenomenon in real life, have a negative impact on the harmony of the society. When people hear rumors, they may not resonate with rumors because they do not trust them during the process of rumors transmission. Thus, they will not spread rumors. The essential difference between chord mechanism and spreader mechanism is that spreaders will spread regardless of whether they think it is true or false. The chord needs to believe that the rumor is true in order to keep spreading it, otherwise they become immune to spreading it. Therefore, this paper proposes a new Spreader-Chord-Ignorant-Restorer (SCIR) model, which considers that the trust may affect the level of empathy. Since the level of trust affects the spread of rumors and the extent to which the immune person trusts the rumor is different, the connecting edges from the restorer to the chord and the restorer to the ignorant were added to the model. First, the basic reproductive number R(0) is derived by the next generation matrix method and thus equilibriums are obtained. Then, the global stability of the rumor-free equilibrium E(0) and the persistence of rumor propagation are proved in detail during the theoretical analysis.

中文翻译：

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社交网络中具有和弦机制的SCIR谣言传播模型

谣言作为现实生活中一种典型的社会现象，对社会的和谐有着消极的影响。当人们听到谣言时，他们可能不会对谣言产生共鸣，因为他们在谣言传播的过程中不信任谣言。因此，他们不会散布谣言。chord机构和spreader机构的本质区别在于spreaders无论认为是真是假都会传播。和弦需要相信谣言是真实的才能继续传播它，否则他们就无法传播它。因此，本文提出了一种新的Spreader-Chord-Ignorant-Restorer（SCIR）模型，该模型认为信任可能会影响移情的水平。由于信任程度影响谣言的传播，免疫者对谣言的信任程度不同，从恢复器到弦和恢复器到无知的连接边被添加到模型中。一、基本繁殖数R(0)由下一代矩阵方法推导，从而获得平衡。然后，无谣言均衡的全局稳定性乙(0)在理论分析中详细证明了谣言传播的持久性。