Dynamic behavior of an I2S2R rumor propagation model on weighted contract networks
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所属单位：经济与管理学院
发表刊物：Phys A Stat Mech Appl
摘要：Rumor, a typical social phenomenon in real life, has a considerably huge negative impact on the construction of a harmonious society. With the rapid development of Internet, different groups in the network exert more and more impact on rumor spreading with different level of influence. Therefore, the rumor propagation model of the unauthorized network may not be appropriate for describing the difference between the existing influence. In this paper, a novel I2S2R rumor spreading model in weighted contract networks is proposed. By analyzing the corresponding mean-field equations of this model, the basic reproduction number R0 is calculated by the next generation matrix method. For the model with fixed weighted networks, by deriving the equation, the unique positive equilibrium of the system in fixed weighted networks is obtained. And meanwhile, the global stability of the rumor-free equilibrium and the persistence of the rumor equilibrium are studied. As for the model with adaptive weighted networks, we perform the stability of the equilibrium point by numerical simulations. Finally, several sensitive parameters which can prove the government effectively curb rumor spreading are obtained. © 2019 Elsevier B.V.
ISSN号：0378-4371
是否译文：否
发表时间：2019-01-01
合写作者：Zhang, Yuhuai
通讯作者：朱建军