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Dynamic properties of rumor propagation model induced by Lévy noise on social networks

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Social networks are inevitably subject to disruptions from the physical world,such as sudden internet outages that sever local connections and impede information flow.While Gaussian white noise,commonly used to simulate stochastic disruptions,only fluctuates within a narrow range around its mean and fails to capture large-scale variations,Lévy noise can effectively compensate for this limitation.Therefore,a susceptible-infected-removed rumor propagation model with Lévy noise is constructed on homogeneous and heterogeneous networks,respectively.Then,the existence of a global positive solution and the asymptotic path-wise of the solution are derived on heterogeneous networks,and the sufficient conditions of rumor extinction and persistence are investigated.Subsequently,theoretical results are verified through numerical cal-culations and the sensitivity analysis related to the threshold is conducted on the model parameters.Through simulation experiments on Watts-Strogatz(WS)and Barabási-Albert networks,it is found that the addition of noise can inhibit the spread of rumors,resulting in a stochastic resonance phenomenon,and the optimal noise intensity is obtained on the WS network.The validity of the model is verified on three real datasets by particle swarm optimization algorithm.

rumor propagation modelLévy noiseextinction and persistencestochastic resonance

景颖、王友国、翟其清、孙先莉

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School of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China

School of Telecommunication and Information Engineering,Nanjing University of Posts and Telecommunications,Nanjing 210023,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaGraduate Scientific Research and Innovation Program of Jiangsu Province

6207124862201284KYCX24_1119

2024

10.1088/1674-1056/ad58c5

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(9)