Mathematical Modelling of a Rumour Spreading with the Attitude of Adjusting Mechanisms

IF 0.7 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Sains Malaysiana Pub Date : 2024-03-31 DOI:10.17576/jsm-2024-5303-18

Norhayati Rosli, Muhammad Fahmi Bin Ahmad Zuber, Ali Turab

{"title":"Mathematical Modelling of a Rumour Spreading with the Attitude of Adjusting Mechanisms","authors":"Norhayati Rosli, Muhammad Fahmi Bin Ahmad Zuber, Ali Turab","doi":"10.17576/jsm-2024-5303-18","DOIUrl":null,"url":null,"abstract":"With the advent of the internet, social media of Facebook and Twitter, as well as the communication technology of WhatsApp and Telegram, the speed and scope of the rumour dissemination has been expanded. Understanding the characterization of rumour dissemination and how it spreads can help in mitigation measures to avoid the spread of the rumour. Therefore, it is crucial to propose a mathematical model, and in particular this paper is concerned with the epidemic model to understand the dissemination of the rumour in social network. The mechanism of rumour propagation is behaving like infectious diseases spread; hence this research adopted the epidemiological model approach. In this network, the compartment is divided into susceptible, ignorant, propagation and stiflers. The basic influence number, the equilibrium points of rumour-free and the endemic equilibrium state were obtained and discussed. For the local stability, the Next Generation Matrix was used. Numerical simulation is performed to understand the dynamics of the spread of rumour in a population or social networks, its impact in a population, and adjusting mechanisms in curbing the spread of rumour.","PeriodicalId":21366,"journal":{"name":"Sains Malaysiana","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sains Malaysiana","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.17576/jsm-2024-5303-18","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

Abstract

With the advent of the internet, social media of Facebook and Twitter, as well as the communication technology of WhatsApp and Telegram, the speed and scope of the rumour dissemination has been expanded. Understanding the characterization of rumour dissemination and how it spreads can help in mitigation measures to avoid the spread of the rumour. Therefore, it is crucial to propose a mathematical model, and in particular this paper is concerned with the epidemic model to understand the dissemination of the rumour in social network. The mechanism of rumour propagation is behaving like infectious diseases spread; hence this research adopted the epidemiological model approach. In this network, the compartment is divided into susceptible, ignorant, propagation and stiflers. The basic influence number, the equilibrium points of rumour-free and the endemic equilibrium state were obtained and discussed. For the local stability, the Next Generation Matrix was used. Numerical simulation is performed to understand the dynamics of the spread of rumour in a population or social networks, its impact in a population, and adjusting mechanisms in curbing the spread of rumour.

查看原文本刊更多论文

利用调整机制建立谣言传播的数学模型

随着互联网、Facebook 和 Twitter 等社交媒体以及 WhatsApp 和 Telegram 等通信技术的出现，谣言传播的速度和范围都有所扩大。了解谣言传播的特点及其传播方式有助于采取缓解措施，避免谣言的传播。因此，提出一个数学模型至关重要，本文尤其关注用流行病模型来理解谣言在社交网络中的传播。谣言的传播机制就像传染病的传播一样，因此本研究采用了流行病学模型的方法。在这个网络中，区隔分为易感者、无知者、传播者和扼杀者。研究讨论了基本影响数、无谣言平衡点和流行平衡态。在局部稳定性方面，使用了下一代矩阵。通过数值模拟来了解谣言在人群或社交网络中的传播动态、对人群的影响以及遏制谣言传播的调整机制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Sains Malaysiana MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

12.50%

发文量

196

审稿时长

3-6 weeks

期刊介绍： Sains Malaysiana is a refereed journal committed to the advancement of scholarly knowledge and research findings of the several branches of science and technology. It contains articles on Earth Sciences, Health Sciences, Life Sciences, Mathematical Sciences and Physical Sciences. The journal publishes articles, reviews, and research notes whose content and approach are of interest to a wide range of scholars. Sains Malaysiana is published by the UKM Press an its autonomous Editorial Board are drawn from the Faculty of Science and Technology, Universiti Kebangsaan Malaysia. In addition, distinguished scholars from local and foreign universities are appointed to serve as advisory board members and referees.