期刊文献+

一类具有媒体播报效应的谣言传播模型的定性分析 被引量:7

Qualitative analysis of a rumor transmission model with media coverage
下载PDF
导出
摘要 为了准确刻画谣言传播机理,抑制谣言传播,文中研究了一类具有媒体播报效应的谣言传播模型。利用常微分方程稳定性理论,详细分析了系统平衡点的存在性及局部渐近稳定性;通过比较定理证明了边界平衡点E0(rumor-free equilibrium)的全局渐近稳定性,利用Lyapunov-LaSalle不变性原理给出了正平衡点E+(rumor-endemic equilibrium)全局渐近稳定的充分条件。结论表明,随着时间的推移,要么传谣者的数量趋于0,要么谣言持续,媒体报道对谣言传播的规模有一定影响。最后,通过数值模拟验证了媒体播报对谣言传播和控制的影响。 To understand the mechanism of the rumor propagation and inhibit the spread of rumors. We consider a rumor transmission model with media coverage. Based on the stability of ordinary differential equation,detailed qualitative analysis about the existence and local asymptotic stability of its equilibria is carried out. Using comparison theorem,we prove the globally asymptotic stability of the equilibrium E0( rumor-free equilibrium). By use of Lyapunov-La Salle invariant principle,we give some sufficient conditions which lead to the globally asymptotic stability of the equilibrium E+( rumor-endemic equilibrium).We show that the number of infective individuals tends to zero as time evolves or the rumor persists. Furthermore,the numerical simulations show the impact of media coverage on the spread and control of rumor spreading.
作者 陈华
出处 《西安科技大学学报》 CAS 北大核心 2016年第2期255-264,共10页 Journal of Xi’an University of Science and Technology
关键词 谣言传播 稳定性 LYAPUNOV函数 媒体播报 rumor propagation stability lyapunov function media broadcast
  • 相关文献

参考文献28

二级参考文献236

共引文献179

同被引文献43

引证文献7

二级引证文献24

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部