Abstract | ||
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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 |
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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 Il | 1 | 4 | 1.48 |
Nahmwoo Hahm | 2 | 10 | 1.77 |
sunho choi | 3 | 16 | 2.55 |