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论文类型：期刊论文

发表时间：2018-09-01

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

收录刊物：SCIE

卷号：505

页面范围：1084-1094

ISSN号：0378-4371

关键字：Rumor transmission model; Wisemen; Transmission rate; Equilibrium; Stability

摘要：Similar to the spread of infectious diseases, rumor spread has a significant impact on human lives. As the saying goes, "rumors end with the wise" and the proportion of the wisemen in the crowd has a certain influence on the spread of rumors. Based on this fact, a rumor transmission model considering the proportion of wisemen in the crows is established. It provides a new angle of view on the issue of rumor spreading. Different from previous studies, we consider the speed of rumor propagation as the variable over time in our model. Then, locally asymptotic stability of each of the feasible equilibriums is presented by using RouthHurwitz criteria. Numerical simulations are carried out to illustrate the feasibility of our results and the influence of different parameters on the rumor spreading. The results in this paper provide theoretical support to rumor control. (C) 2018 Elsevier B.V. All rights reserved.