TY - JOUR
T1 - Complex dynamic behavior of a rumor propagation model with spatialoral diffusion terms
AU - Zhu, Linhe
AU - Zhao, Hongyong
AU - Wang, Haiyan
N1 - Funding Information:
The work is partially supported by National Natural Science Foundation of China under Grant 11571170, 61174155 and 11571324 , National Science Foundation under Grant CNS-1218212 , and the Qing Lan Project of Jiangsu. The work is also sponsored by Funding of Jiangsu Innovation Program for Graduate Education KYZZ15 _ 0091 , the Fundamental Research Funds for the Central Universities. Additionally, the authors would like to express their gratitude to the editor and the anonymous reviewers for their valuable comments and suggestions.
Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Rumor propagation as a typical form of social communication in online social networks has had a significant negative impact on a harmonious and stable society. With the rapid development of mobile communication equipments, traditional rumor propagation models, which depend on ordinary differential equations (ODE), may not be suitable for describing rumor propagation in an online social network. In this paper, based on reaction-diffusion equations, we propose a novel epidemic-like model with both discrete and nonlocal delays for investigating the spatialoral dynamics of rumor propagation. By analyzing the corresponding characteristic equations of this model, the local stability conditions of a boundary equilibrium point and a positive equilibrium point are established. By applying the linear approximation method of nonlinear systems, sufficient conditions are derived for the existence of Hopf bifurcation at the above two kinds of equilibrium points. Moreover, a sensitivity analysis method based on the density of spreading users is proposed, and then in theoretical and experimental aspect we identify some sensitive parameters in the process of rumor propagation. Finally, numerical simulations are performed to illustrate the theoretical results.
AB - Rumor propagation as a typical form of social communication in online social networks has had a significant negative impact on a harmonious and stable society. With the rapid development of mobile communication equipments, traditional rumor propagation models, which depend on ordinary differential equations (ODE), may not be suitable for describing rumor propagation in an online social network. In this paper, based on reaction-diffusion equations, we propose a novel epidemic-like model with both discrete and nonlocal delays for investigating the spatialoral dynamics of rumor propagation. By analyzing the corresponding characteristic equations of this model, the local stability conditions of a boundary equilibrium point and a positive equilibrium point are established. By applying the linear approximation method of nonlinear systems, sufficient conditions are derived for the existence of Hopf bifurcation at the above two kinds of equilibrium points. Moreover, a sensitivity analysis method based on the density of spreading users is proposed, and then in theoretical and experimental aspect we identify some sensitive parameters in the process of rumor propagation. Finally, numerical simulations are performed to illustrate the theoretical results.
KW - Delay
KW - Online social networks
KW - Reaction-diffusion equations
KW - Rumor propagation
KW - Stability
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U2 - 10.1016/j.ins.2016.02.031
DO - 10.1016/j.ins.2016.02.031
M3 - Article
AN - SCOPUS:84960367457
SN - 0020-0255
VL - 349-350
SP - 119
EP - 136
JO - Information Sciences
JF - Information Sciences
ER -