The stationary distribution of a stochastic rumor spreading model

The stationary distribution of a stochastic rumor spreading model

In this paper, we develop a rumor spreading model by introducing white noise into the model. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the stochastic model by constructing a suitable stochastic Lyapunov func...

Full description

Bibliographic Details
Main Authors: Chaodong Chen, Dapeng Gao, Peng Guo
Format: Article
Language:English
Published: AIMS Press 2021-11-01
Series:AIMS Mathematics
Subjects:
rumor spreading
stationary distribution
threshold
Online Access:https://www.aimspress.com/article/10.3934/math.2021076/fulltext.html
id doaj-e2af8cae02304f5d8c3d14470faf66e2
record_format Article
spelling doaj-e2af8cae02304f5d8c3d14470faf66e22020-11-25T04:11:49ZengAIMS PressAIMS Mathematics2473-69882021-11-01621234124810.3934/math.2021076The stationary distribution of a stochastic rumor spreading modelChaodong Chen0Dapeng Gao1Peng Guo21 School of Public Administration, Sichuan University, Chengdu, Sichuan 610065, China 2 College of Mathematics, Sichuan University, Chengdu, Sichuan 610065, China3 School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China 4 Internet of Things Perception and Big Data Analysis Key Laboratory of Nanchong, Nanchong, Sichuan 637002, China3 School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China 4 Internet of Things Perception and Big Data Analysis Key Laboratory of Nanchong, Nanchong, Sichuan 637002, ChinaIn this paper, we develop a rumor spreading model by introducing white noise into the model. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the stochastic model by constructing a suitable stochastic Lyapunov function, which provides us a good description of persistence. Finally, we provide some numerical simulations to illustrate the analytical results.https://www.aimspress.com/article/10.3934/math.2021076/fulltext.htmlrumor spreadingstationary distributionthreshold
collection DOAJ
language English
format Article
sources DOAJ
author Chaodong Chen
Dapeng Gao
Peng Guo
spellingShingle Chaodong Chen
Dapeng Gao
Peng Guo
The stationary distribution of a stochastic rumor spreading model
AIMS Mathematics
rumor spreading
stationary distribution
threshold
author_facet Chaodong Chen
Dapeng Gao
Peng Guo
author_sort Chaodong Chen
title The stationary distribution of a stochastic rumor spreading model
title_short The stationary distribution of a stochastic rumor spreading model
title_full The stationary distribution of a stochastic rumor spreading model
title_fullStr The stationary distribution of a stochastic rumor spreading model
title_full_unstemmed The stationary distribution of a stochastic rumor spreading model
title_sort stationary distribution of a stochastic rumor spreading model
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-11-01
description In this paper, we develop a rumor spreading model by introducing white noise into the model. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the stochastic model by constructing a suitable stochastic Lyapunov function, which provides us a good description of persistence. Finally, we provide some numerical simulations to illustrate the analytical results.
topic rumor spreading
stationary distribution
threshold
url https://www.aimspress.com/article/10.3934/math.2021076/fulltext.html
work_keys_str_mv AT chaodongchen thestationarydistributionofastochasticrumorspreadingmodel
AT dapenggao thestationarydistributionofastochasticrumorspreadingmodel
AT pengguo thestationarydistributionofastochasticrumorspreadingmodel
AT chaodongchen stationarydistributionofastochasticrumorspreadingmodel
AT dapenggao stationarydistributionofastochasticrumorspreadingmodel
AT pengguo stationarydistributionofastochasticrumorspreadingmodel
_version_ 1724416892529016832

Similar Items