The stationary distribution of a stochastic rumor spreading model

被引：6

作者：

Chen, Chaodong ^{[1
,2
]}

Gao, Dapeng ^{[3
,4
]}

Guo, Peng ^{[3
,4
]}

机构：

[1] Sichuan Univ, Sch Publ Adm, Chengdu 610065, Sichuan, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China

[3] China West Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China

[4] Internet Things Percept & Big Data Anal Key Lab N, Nanchong 637002, Sichuan, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 02期

基金：

中国国家自然科学基金;

关键词：

rumor spreading; stationary distribution; threshold; EXISTENCE;

D O I：

10.3934/math.2021076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1234 / 1248

页数：15

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