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所属单位：理学院

发表刊物：Phys Scr

摘要：Social networks have recently become an effective and innovative channel for rumor propagation, and they influence not only people's living style but also people's thinking and values. Unlike previous articles that research rumor propagation by empirical approaches or ordinary differential equations, in this paper, we propose a delayed reaction-diffusion rumor propagation model based on partial differential equations. By taking the delay as the bifurcation parameter, the local stabilities of the equilibria points are investigated and the conditions of Hopf bifurcation are obtained. Numerical simulations are included to illustrate our theoretical results. Moreover, we successfully reveal that the delay leads to stable and unstable spiral patterns and the spatial diffusion can change the structure of spiral patterns by numerical simulations. © 2019 IOP Publishing Ltd.

ISSN号：0031-8949

是否译文：否

发表时间：2019-06-04

合写作者：Zhu, Linhe,Wang, Haiyan

通讯作者：赵洪涌