Dynamic Analysis of the Multi-Lingual S2IR Rumor Propagation Model Under Stochastic Disturbances.

Jinling Wang, Jing Liao, Jun-Guo Lu, Jiarong Li, Mei Liu

Abstract read

In one paragraph

Article in Entropy (Basel, Switzerland), 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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0cells of the map it votes in

1citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

Dynamic Analysis of a Cross-Lingual Coupled Rumor Propagation Model with Response Delay in Online Social Networks.Entropy (Basel, Switzerland) · 2026
Article

4 · The record

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5 · Who and what money

Authors and funding

5 authors.

Jinling WangDepartment of Automation, Shanghai Jiao Tong University, Shanghai 200240, China.

Jing LiaoSchool of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China.

Jun-Guo LuDepartment of Automation, Shanghai Jiao Tong University, Shanghai 200240, China.

Jiarong LiDepartment of Automation, Shanghai Jiao Tong University, Shanghai 200240, China.

Mei LiuSchool of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China.

Funding

Key Research Projects in University of Henan Province 24A110015National Natural Science Foundation of People's Republic of China 62073217National Natural Science Foundation of People's Republic of China 62366049Natural Science Foundation of Xinjiang Uygur Autonomous Region 2021D01C113

6 · The paper itself

Abstract

This paper proposes a multi-lingual S2IR rumor propagation model with white noise disturbances, aiming to study its dynamics and stochastic optimal control strategies. Firstly, a deterministic model is developed within a multi-lingual environment to identify rumor-free and rumor-spreading equilibria and calculate the basic reproduction number R0. Secondly, a stochastic model incorporating white noise perturbation is developed, and the uniqueness of its global positive solution is examined. Meanwhile, the asymptotic behaviors of the model's global solution near the steady states are discussed. Thirdly, the stochastic optimal control is designed to suppress the spread of rumors. Finally, the correctness and validity of the theoretical results are verified through numerical simulation.

Indexed as

multi-lingual environmentrumor propagationstochastic disturbancesstochastic optimal control

Identifiers

PMID40149141

DOI10.3390/e27030217

PMCPMC11941658

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