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论文类型：期刊论文

发表时间：2018-07-15

发表刊物：PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

收录刊物：SCIE、EI、SSCI

卷号：502

页面范围：331-344

ISSN号：0378-4371

关键字：Rumor spreading model; Attitudes; Equilibrium; Local stability; Global stability

摘要：Rumor spreading has a profound influence on people's well-being and social stability. There are many factors influencing rumor spreading. In this paper, we recommended an assumption that among the common mass there are three attitudes towards rumors: to like rumor spreading, to dislike rumor spreading, and to be hesitant (or neutral) to rumor spreading. Based on such an assumption, a Susceptible-Hesitating-Affected-Resistant(SHAR) model is established, which considered individuals' different attitudes towards rumor spreading. We also analyzed the local and global stability of rumor-free equilibrium and rumor-existence equilibrium, calculated the basic reproduction number of our model. With numerical simulations, we illustrated the effect of parameter changes on rumor spreading, analyzing the parameter sensitivity of the model. The results of the theoretical analysis and numerical simulations illustrated the conclusions of this study. People having different attitudes towards rumors may play different roles in the process of rumor spreading. It was surprising to find, in our research, that people who hesitate to spread rumors have a positive effect on the spread of rumors. (C) 2018 Elsevier B.V. All rights reserved.