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Dynamic analysis and application of a stochastic rumor spreading model with education and punishment age under generalized nonlinear incidence on homogeneous networks.

Authors :
Tong, Xinru
Jiang, Haijun
Qiu, Jianlong
Yu, Shuzhen
Source :
Nonlinear Dynamics; Jul2024, Vol. 112 Issue 13, p11595-11614, 20p
Publication Year :
2024

Abstract

With the vigorous development of information technology, online rumors are spreading recklessly. In this article, by comprehensive consideration of the stochastic disturbance, generalized nonlinear incidence, education age and punishment age, the dynamical behaviors of a novel stochastic SEIFR (susceptible-educated-infected-forced silence-removed) rumor spreading model with class-age structure under the generalized nonlinear incidence is analyzed and discussed. Firstly, given that the ubiquity of stochastic disturbance in the process of rumor spreading, a stochastic rumor spreading model is established. Secondly, the existence of the unique global positive solution for the stochastic model is manifested. Thirdly, the sufficient condition of rumor extinction is attained by virtue of Itô's formula and strong law of large numbers. Additionally, the existence of a unique stationary distribution implying the rumor persistence is investigated based on the method of Khasminskii. Finally, some simulations and a practical application are carried to validate the results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0924090X
Volume :
112
Issue :
13
Database :
Complementary Index
Journal :
Nonlinear Dynamics
Publication Type :
Academic Journal
Accession number :
177991560
Full Text :
https://doi.org/10.1007/s11071-024-09487-x