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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Vydáno v:Social network analysis and mining Ročník 12; číslo 1; s. 159
Hlavní autoři: Gao, Xu, Liu, Fengming, Liu, Chang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Vienna Springer Vienna 01.12.2022
Springer Nature B.V
Témata:
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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Shrnutí: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.
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ISSN:1869-5450
1869-5469
DOI:10.1007/s13278-022-00988-4