An SIR rumor pairwise model with spreading age
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Authors
Yao Liu
- School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P. R. China.
Jinxian Li
- School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P. R. China.
Abstract
In this paper, we extend the classical rumor model with non-Markovian recovery process in a complex network. We follow the ideas from R\"{o}st to analyze the pairwise model; then, the hyperbolic system can be transformed into integro-differential equations. For the rumor model, the reproduction number is obtained. Next, we use numerical simulation to verify the accuracy of the result. In the end, we focus on how the three different distributions of recovery time with spreading age influence on rumor model. The result illustrates the significant effect of different distribution functions on the process of rumor spreading.
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ISRP Style
Yao Liu, Jinxian Li, An SIR rumor pairwise model with spreading age, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 3, 148--162
AMA Style
Liu Yao, Li Jinxian, An SIR rumor pairwise model with spreading age. J. Nonlinear Sci. Appl. (2021); 14(3):148--162
Chicago/Turabian Style
Liu, Yao, Li, Jinxian. "An SIR rumor pairwise model with spreading age." Journal of Nonlinear Sciences and Applications, 14, no. 3 (2021): 148--162
Keywords
- Rumor pairwise model
- spreading age
- reproduction number
- numerical simulation
MSC
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