Abstract

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.

Details

Title
An uncertain SIR rumor spreading model
Author
Sun, Hang 1   VIAFID ORCID Logo  ; Sheng Yuhong 1 ; Cui Qing 2 

1  Xinjiang University, College of Mathematical and System Sciences, Urumqi, China (GRID:grid.413254.5) (ISNI:0000 0000 9544 7024) 
2  Xinjiang University, College of Information Science and Engineering, Urumqi, China (GRID:grid.413254.5) (ISNI:0000 0000 9544 7024) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03386-w
ProQuest document ID
2540280320
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.