Dynamics of a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise

• 作者: Liang-An Huo Ya-Fang Dong Ting-Ting Lin
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（8）
• 所属期刊栏目: GENERAL
• 页码范围: 204-213
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/ac0423

摘要

With the development of information technology,rumors propagate faster and more widely than in the past.In this paper,a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise is proposed.The global positivity of the solution process is proved,and further the basic reproductive number R0 is obtained.When R0 ＜ 1,the dynamical process of system with Lrvy jump tends to the rumor-free equilibrium point of the deterministic system,and the rumor tends to extinction;when R0 ＞ 1,the rumor will keep spreading and the system will oscillate randomly near the rumor equilibrium point of the deterministic system.The results show that the oscillation amplitude is related to the disturbance of the system.In addition,increasing media coverage can effectively reduce the final spread of rumors.Finally,the above results are verified by numerical simulation.