期刊
COMMUNICATIONS IN THEORETICAL PHYSICS
卷 59, 期 4, 页码 510-516出版社
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/59/4/21
关键词
rumor spreading; SIR model; homogeneous network; inhomogeneous network
资金
- National Natural Science Foundation of China [61103231, 61103230]
- Innovation Program of Graduate Scientific Research in Institution of Higher Education of Jiangsu Province of China [CXZZ11_0401]
- Basic Research Foundation of Engineering University of the Chinese People's Armed Police Force [WJY201218]
- Natural Science Basic Research Plan in Shaanxi Province of China [2011JM8012]
In this paper, to study rumor spreading, we propose a novel susceptible-infected-removed (SIR) model by introducing the trust mechanism. We derive mean-field equations that describe the dynamics of the SIR model on homogeneous networks and inhomogeneous networks. Then a steady-state analysis is conducted to investigate the critical threshold and the final size of the rumor spreading. We show that the introduction of trust mechanism reduces the final rumor size and the velocity of rumor spreading, but increases the critical thresholds on both networks. Moreover, the trust mechanism not only greatly reduces the maximum rumor influence, but also postpones the rumor terminal time, which provides us with more time to take measures to control the rumor spreading. The theoretical results are confirmed by sufficient numerical simulations.
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