SCIR rumor propagation model with the chord mechanism in social networks

Xiaodan Zhou (), Liqing Qiu and Tingyu Hao ()
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Xiaodan Zhou: Shandong Province Key Laboratory of Wisdom Mine Information Technology College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao Shandong 266590, P. R. China
Liqing Qiu: Shandong Province Key Laboratory of Wisdom Mine Information Technology College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao Shandong 266590, P. R. China
Tingyu Hao: Taian Human Resources and Social Security, Taian, Shandong 271000, P. R. China

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 01, 1-13

Abstract: 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.

Keywords: Rumor spreading; psychological factors; homeostasis; personal emotions (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500140

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