期刊
INFORMATION SCIENCES
卷 526, 期 -, 页码 1-19出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.03.076
关键词
Rumor propagation; Time delay; Stability; Bifurcation; Optimal control
资金
- China Postdoctoral Science Foundation [2019M661732]
- Natural Science Foundation of Jiangsu Province, China [BK20190836]
- Natural Science Research of Jiangsu Higher Education Institutions of China [19KJB1100 01]
- 17th batch of Undergraduate Scientific Research Project of Jiangsu University, China [17C473]
Nowadays rumors spread by virtual identities of people in online social networks. In order to study the influence of forcing silence on spreaders, we propose a rumor propagation model with a silence-forcing function in online social networks. The theoretical analysis of the rumor propagation model reveals the existence of the equilibrium points, the backward bifurcation and the local stability. Meanwhile, by choosing the key parameter and time delay as the bifurcation parameters, we have given some conditions of Hopf bifurcation that are easy to judge. Furthermore, the optimal control is discussed to reduce the frequency of rumor propagation. Finally, numerical simulations are presented to prove the correctness of the theoretical results. (C) 2020 Elsevier Inc. All rights reserved.
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