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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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Partial differential equation modeling of rumor propagation in complex networks with higher order of organization

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所属单位:理学院

发表刊物:CHAOS

关键字:SISO NONLINEAR-SYSTEMS ADAPTIVE FUZZY CONTROL SIR EPIDEMIC MODEL SPREADING MODEL DIFFUSION MECHANISM BEHAVIOR

摘要:Mathematical modeling is an important approach to research rumor propagation in online social networks. Most of prior work about rumor propagation either carried out empirical studies or focus on ordinary differential equation models with only consideration of temporal dimension; little attempt has been given on understanding rumor propagation over both temporal and spatial dimensions. This paper primarily addresses an issue related to how to define a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay to describing rumor propagation over both temporal and spatial dimensions. Theoretical analysis reveals the existence of equilibrium points, a priori bound of the solution, the local stability and the global stability of equilibrium points of our rumor propagation model. Finally, numerical simulations have analyzed the possible influence factors on rumor propagation and proved the validity of the theoretical analysis.

ISSN号:1054-1500

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发表时间:2019-05-01

合写作者:Zhu, Linhe,Wang, Haiyan

通讯作者:赵洪涌

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