Dynamic analysis of a spatial diffusion rumor propagation model with delay

被引：22
|
作者：
Li, Chunru [1 ,2 ]
Ma, Zujun [3 ]
机构：
[1] Huaian Coll Informat Technol, Huaian 223003, Peoples R China
[2] Southwest Jiaotong Univ, Sch Transportat & Logist, Chengdu 610031, Peoples R China
[3] Southwest Jiaotong Univ, Sch Econ & Management, Chengdu 610031, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
rumor; spread; delay; diffusion; INFORMATION DIFFUSION; SPREADING MODEL; MECHANISM; SYSTEMS;
D O I：
10.1186/s13662-015-0655-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1 / 17
页数：17
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