An uncertain SIR rumor spreading model

Advances in Difference Equations

article

Sun, Hang¹  Sheng, Yuhong¹  Cui, Qing² 

[1] College of Mathematical and System Sciences, Xinjiang University;College of Information Science and Engineering, Xinjiang University

关键词: Uncertainty theory;    Liu process;    Rumor spreading;    Existence and uniqueness;    Stability;   

DOI  :  10.1186/s13662-021-03386-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading. The deduced process of the uncertain SIR rumor spreading model is presented. Then an existence and uniqueness theorem concerning the solution is proved. Moreover, the stability of uncertain SIR rumor spreading differential equation is proved. In addition, the influence of different parameters on rumor spreading is analyzed through numerical simulation. This paper also presents a paradox of stochastic SIR rumor spreading model.

【 授权许可】

CC BY