Dynamic analysis of a spatial diffusion rumor propagation model with delay

Advances in Difference Equations

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