An uncertain SIR rumor spreading model

Advances in Difference Equations

Qing Cui¹  Hang Sun²  Yuhong Sheng² 

[1] College of Information Science and Engineering, Xinjiang University, 830046, Urumqi, Xinjiang, China;College of Mathematical and System Sciences, Xinjiang University, 830046, Urumqi, Xinjiang, China;

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

DOI  :  10.1186/s13662-021-03386-w

来源: Springer

【 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