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赵洪涌

教授 博士生导师

招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院

主要任职:中国数学学会生物数学专委会常务理事,江苏省生物数学会副理事长

性别:男

毕业院校:四川大学

学历:四川大学

学位:理学博士学位

所在单位:数学学院

联系方式:zhaohy@nuaa.edu.cn

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Dynamical behaviours and control measures of rumour-spreading model with consideration of network topology

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所属单位:理学院

发表刊物:Int. J. Syst. Sci.

摘要:A series of online rumours have seriously influenced the normal production and living of people. This paper aims to study the combined impact of psychological factor, propagation delay, network topology and control strategy on rumour diffusion over the online social networks. Based on an online social network, which is seen as a scale-free network, we model the spread of rumours by using a delayed SIS (Susceptible and Infected) epidemic-like model with consideration of psychological factor and network topology. First, through theoretical analysis, we illustrate the boundedness of the density of rumour-susceptible individuals and rumour-infected individuals. Second, we obtain the basic reproduction number R0and prove the stability of the non-rumour equilibrium point and the rumour-spreading equilibrium point. Third, control strategies, such as uniform immunisation control, proportional immunisation control, targeted immunisation control and optimum control, are put forward to restrain rumour diffusion. Meanwhile, we have compared the differences of these control strategies. Finally, some representative numerical simulations are performed to verify the theoretical analysis results. © 2017 Informa UK Limited, trading as Taylor & Francis Group.

ISSN号:0020-7721

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发表时间:2017-07-27

合写作者:Zhu, Linhe

通讯作者:赵洪涌

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