Title
SIR Rumor spreading model with trust rate distribution.
Abstract
In this paper, we study a rumor spreading model in which several types of ignorants exist with trust rate distributions lambda(i), 1 <= i <= N. We rigorously show the existence of a threshold on a momentum type initial quantity related to rumor outbreak occurrence regardless of the total initial population. We employ a steady state analysis to obtain the final size of the rumor. Using numerical simulations, we demonstrate the analytical result in which the threshold phenomenon exists for rumor size and discuss interaction between the ignorants of several types of trust rates.
Year
DOI
Venue
2018
10.3934/nhm.2018023
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Rumor spreading model,SIR,rumor outbreak,stability
Statistical physics,Population,Mathematical analysis,Rumor,Momentum,Mathematics
Journal
Volume
Issue
ISSN
13
3
1556-1801
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Hong Bum Il141.48
Nahmwoo Hahm2101.77
sunho choi3162.55