2SI2R rumor spreading model in homogeneous networks

被引:81
作者
Wang, Jiajia [1 ,2 ]
Zhao, Laijun [1 ,2 ]
Huang, Rongbing [3 ]
机构
[1] Shanghai Jiao Tong Univ, Sino US Global Logist Inst, Shanghai 200030, Peoples R China
[2] Shanghai Jiao Tong Univ, Antai Coll Econ & Management, Shanghai 200052, Peoples R China
[3] York Univ, Sch Adm Studies, Toronto, ON M3J 1P3, Canada
基金
中国国家自然科学基金;
关键词
Rumor spreading; Homogeneous networks; Basic reproduction number; Final size; MATHEMATICAL-THEORY;
D O I
10.1016/j.physa.2014.06.053
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Similarities exist between the rumor spreading and the infectious disease transmission. Some researches on the disease spreading involve two or more diseases which are cross-infection propagation. Similarly, two or several kinds of rumors may spread at the same time. In this paper, we study a rumor spreading model called 2SI2R model, in which two types of rumors spread simultaneously among the crowd. Derived from mean-field equations, the dynamics of the 2SI2R rumor spreading model in homogeneous networks is elucidated. Employing the method on infectious diseases, the basic reproduction number, the stability of the disease-free equilibrium, and the final size of rumor are investigated and discussed. In the numerical simulation part, the interaction of two rumors and the impact of different parameters on the rumor spreading are discussed. (C) 2014 Elsevier B.V. All rights reserved.
引用
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页码:153 / 161
页数:9
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