SVIR rumor spreading model considering individual vigilance awareness and emotion in social networks

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Abstract
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.

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