scholarly journals Dynamic analysis of rumor propagation model based on true information spreader

2019 ◽  
Vol 68 (15) ◽  
pp. 150501
Author(s):  
Ju-Ping Zhang ◽  
Hao-Ming Guo ◽  
Wen-Jun Jing ◽  
Zhen Jin
Keyword(s):  
Dynamic Analysis ◽  
Propagation Model ◽  
Model Based ◽  
Rumor Propagation

A Rumor & Anti-rumor Propagation Model Based on Data Enhancement and Evolutionary Game

2020 ◽  
pp. 1-1
Author(s):  
Yunpeng Xiao ◽  
Wen Li ◽  
Shuai Qiang ◽  
Qian Li ◽  
Hanchun Xiao ◽  
...  
Keyword(s):  
Evolutionary Game ◽  
Propagation Model ◽  
Model Based ◽  
Rumor Propagation

Dynamic analysis of a rumor propagation model with Lévy noise

2017 ◽  
Vol 41 (4) ◽  
pp. 1661-1673 ◽  
Author(s):  
Fangju Jia ◽  
Guangying Lv ◽  
Guang-an Zou
Keyword(s):  
Dynamic Analysis ◽  
Propagation Model ◽  
Lévy Noise ◽  
Rumor Propagation ◽  
Levy Noise

Dynamic analysis of a stochastic delayed rumor propagation model

2018 ◽  
Vol 2018 (2) ◽  
pp. 023502
Author(s):  
Fangju Jia ◽  
Guangying Lv ◽  
Shuangfeng Wang ◽  
Guang-an Zou
Keyword(s):  
Dynamic Analysis ◽  
Propagation Model ◽  
Rumor Propagation

scholarly journals Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3277
Author(s):  
Fangju Jia ◽  
Chunzheng Cao
Keyword(s):  
Dynamic Analysis ◽  
Numerical Simulations ◽  
Stationary Distribution ◽  
Regime Switching ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Propagation Model ◽  
Rumor Propagation ◽  
White Noises

We study the rumor propagation model with regime switching considering both colored and white noises. Firstly, by constructing suitable Lyapunov functions, the sufficient conditions for ergodic stationary distribution and extinction are obtained. Then we obtain the threshold Rs which guarantees the extinction and the existence of the stationary distribution of the rumor. Finally, numerical simulations are performed to verify our model. The results indicated that there is a unique ergodic stationary distribution when Rs>1. The rumor becomes extinct exponentially with probability one when Rs<1.

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