Advances in Difference Equations | |
Dynamic analysis of a spatial diffusion rumor propagation model with delay | |
Chunru Li1  Zujun Ma3  | |
[1] Huaian College of Information Technology, Huaian, People’School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, People’s Republic of China | |
关键词: rumor; spread; delay; diffusion; 34C23; 34D23; | |
DOI : 10.1186/s13662-015-0655-8 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this paper, we study the dynamics of a delayed reaction-diffusion rumor model with government control. By using the theory of partial functional differential equations, a Hopf bifurcation of the proposed system with delay as the bifurcation parameter is investigated. It reveals that the discrete time delay has a destabilizing effect in the rumor dynamics, and the phenomenon of Hopf bifurcation occurs as the delay increases through a certain threshold. Then by numerical simulations the impact of government control is explored. It is found that government control has strong effects on the dynamics of the model.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904027447820ZK.pdf | 2121KB | download |