Fractional-order rumor propagation model with memory effect

The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People’s judgment on whether information is a rumor is affected by early memory. In order to simulate the spread process of rumors better, so as to timely control rumors, th...

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Published in:	Social network analysis and mining Vol. 12; no. 1; p. 159
Main Authors:	Gao, Xu, Liu, Fengming, Liu, Chang
Format:	Journal Article
Language:	English
Published:	Vienna Springer Vienna 01.12.2022 Springer Nature B.V
Subjects:	Algorithms Applications of Graph Theory and Complex Networks Computer Science COVID-19 Data Mining and Knowledge Discovery Differential equations Disease transmission Economics Fractional calculus Game Theory Gossip Governance Humanities Infectious diseases Law Memory Methodology of the Social Sciences Original Article Partial differential equations Propagation Rumors Simulation Social and Behav. Sciences Social networks Stability analysis Statistics for Social Sciences Stability analysis Numerical solution algorithm Memory effect Fractional-order calculus Rumor propagation
ISSN:	1869-5450, 1869-5469
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Abstract	The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People’s judgment on whether information is a rumor is affected by early memory. In order to simulate the spread process of rumors better, so as to timely control rumors, this paper establishes a fractional rumor propagation model with memory effect based on the SIR rumor propagation model. Then, the basic regeneration number of the model is calculated, and the stability analysis of the equilibrium point is performed. Finally, the model is solved and simulated using an efficient and high-precision numerical solution algorithm. It was found that the lower the order, the stronger the memory effect. The simulation results show that the fractional-order rumor propagation model can be used to study the rumor propagation process more realistically. By enhancing the memory effect, the rumor propagation scale can be reduced and the harm of rumor can be reduced. The difference between this study and the past is that the fractional differential equation is used to describe the influence of memory effect on rumor propagation.
AbstractList	The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People’s judgment on whether information is a rumor is affected by early memory. In order to simulate the spread process of rumors better, so as to timely control rumors, this paper establishes a fractional rumor propagation model with memory effect based on the SIR rumor propagation model. Then, the basic regeneration number of the model is calculated, and the stability analysis of the equilibrium point is performed. Finally, the model is solved and simulated using an efficient and high-precision numerical solution algorithm. It was found that the lower the order, the stronger the memory effect. The simulation results show that the fractional-order rumor propagation model can be used to study the rumor propagation process more realistically. By enhancing the memory effect, the rumor propagation scale can be reduced and the harm of rumor can be reduced. The difference between this study and the past is that the fractional differential equation is used to describe the influence of memory effect on rumor propagation. The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People's judgment on whether information is a rumor is affected by early memory. In order to simulate the spread process of rumors better, so as to timely control rumors, this paper establishes a fractional rumor propagation model with memory effect based on the SIR rumor propagation model. Then, the basic regeneration number of the model is calculated, and the stability analysis of the equilibrium point is performed. Finally, the model is solved and simulated using an efficient and high-precision numerical solution algorithm. It was found that the lower the order, the stronger the memory effect. The simulation results show that the fractional-order rumor propagation model can be used to study the rumor propagation process more realistically. By enhancing the memory effect, the rumor propagation scale can be reduced and the harm of rumor can be reduced. The difference between this study and the past is that the fractional differential equation is used to describe the influence of memory effect on rumor propagation.The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People's judgment on whether information is a rumor is affected by early memory. In order to simulate the spread process of rumors better, so as to timely control rumors, this paper establishes a fractional rumor propagation model with memory effect based on the SIR rumor propagation model. Then, the basic regeneration number of the model is calculated, and the stability analysis of the equilibrium point is performed. Finally, the model is solved and simulated using an efficient and high-precision numerical solution algorithm. It was found that the lower the order, the stronger the memory effect. The simulation results show that the fractional-order rumor propagation model can be used to study the rumor propagation process more realistically. By enhancing the memory effect, the rumor propagation scale can be reduced and the harm of rumor can be reduced. The difference between this study and the past is that the fractional differential equation is used to describe the influence of memory effect on rumor propagation.
ArticleNumber	159
Author	Liu, Fengming Gao, Xu Liu, Chang
Author_xml	– sequence: 1 givenname: Xu surname: Gao fullname: Gao, Xu organization: School of Business, Shandong Normal University – sequence: 2 givenname: Fengming surname: Liu fullname: Liu, Fengming email: liufm@sdnu.edu.cn organization: School of Business, Shandong Normal University – sequence: 3 givenname: Chang surname: Liu fullname: Liu, Chang organization: School of Business, Shandong Normal University
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Snippet	The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People’s judgment on whether... The harm of online rumor cannot be ignored, and the research on its spreading mechanism is the core issue of rumor governance. People's judgment on whether...
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SubjectTerms	Algorithms Applications of Graph Theory and Complex Networks Computer Science COVID-19 Data Mining and Knowledge Discovery Differential equations Disease transmission Economics Fractional calculus Game Theory Gossip Governance Humanities Infectious diseases Law Memory Methodology of the Social Sciences Original Article Partial differential equations Propagation Rumors Simulation Social and Behav. Sciences Social networks Stability analysis Statistics for Social Sciences
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