Research on Rumor Spreading Model with Time Delay and Control Effect
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Journal of Systems Science and Information  2019, Vol. 7 Issue (4): 373-389    DOI: 10.21078/JSSI-2019-373-17
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Research on Rumor Spreading Model with Time Delay and Control Effect
Hongxing YAO1,2, Yushi ZOU2
1. School of Finance and Economics, Jiangsu University, Zhenjiang 212013, China;
2. Faculty of Science, Jiangsu University, Zhenjiang 212013, China
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Information flow retains a critical role in decision making among investors. In this paper, we employ a diffusion model based on epidemiology theory to study the rumor spreading process within investors. The paper introduce the feedback mechanism of classical control theory into the model, which helps to reflect the interaction between rumor spreaders and information supervision. Further we apply a time delay factor to give investors access to transparent information and change their behavior. Subsequently, the stability of the rumor disappearance equilibrium and the rumor existence equilibrium are analyzed and the condition for the system undergoes a Hopf-bifurcation is given. The mathematical arguments are subjected to numerical simulations to present the ideal case scenarios. The results suggest that, increase the general strength of information supervision and the proportion coefficient associated with the infected population in the short-term delay are conducive to better control.

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Hongxing YAO
Yushi ZOU
Key wordsepidemic model   rumor spreading   Hopf-bifurcation   control effect     
Received: 2018-12-08;

Supported by the National Natural Science Foundation of China (71701082)

About author: Hongxing YAO,;Yushi ZOU,
Cite this article:   
Hongxing YAO,Yushi ZOU. Research on Rumor Spreading Model with Time Delay and Control Effect[J]. Journal of Systems Science and Information, 2019, 7(4): 373-389.
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[1] Hongxing YAO, Xiangyang GAO. SE2IR Invest Market Rumor Spreading Model Considering Hesitating Mechanism[J]. Journal of Systems Science and Information, 2019, 7(1): 54-69.
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