Geodesic
An SIR rumor pairwise model with spreading age
Liu, Yao 1 ; Li, Jinxian 1
1 School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P. R. China
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 3, p. 148-162.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.014.03.04
Classification : 05C82, 37N25, 92D25
Keywords: Rumor pairwise model, spreading age, reproduction number, numerical simulation

Liu, Yao  1 ; Li, Jinxian  1

1 School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, P. R. China 
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Liu, Yao ; Li, Jinxian . An SIR rumor pairwise model with spreading age. Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 3, p. 148-162. doi : 10.22436/jnsa.014.03.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.014.03.04/

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