Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms
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 mitiga...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2024
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/40721/ http://umpir.ump.edu.my/id/eprint/40721/1/Sains%20Malaysiana%20NR.pdf |
| _version_ | 1848826127964962816 |
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| author | Norhayati, Rosli Muhammad Fahmi, Ahmad Zuber Turab, Ali |
| author_facet | Norhayati, Rosli Muhammad Fahmi, Ahmad Zuber Turab, Ali |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T03:39:53Z |
| format | Article |
| id | ump-40721 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:39:53Z |
| publishDate | 2024 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-407212024-03-21T05:50:35Z http://umpir.ump.edu.my/id/eprint/40721/ Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms Norhayati, Rosli Muhammad Fahmi, Ahmad Zuber Turab, Ali QA Mathematics 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. Universiti Kebangsaan Malaysia 2024-03 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/40721/1/Sains%20Malaysiana%20NR.pdf Norhayati, Rosli and Muhammad Fahmi, Ahmad Zuber and Turab, Ali (2024) Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms. Sains Malaysiana, 53 (3). pp. 719-731. ISSN 0126-6039. (Published) http://doi.org/10.17576/jsm-2024-5303-18 http://doi.org/10.17576/jsm-2024-5303-18 |
| spellingShingle | QA Mathematics Norhayati, Rosli Muhammad Fahmi, Ahmad Zuber Turab, Ali Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title | Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title_full | Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title_fullStr | Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title_full_unstemmed | Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title_short | Mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| title_sort | mathematical modelling of a rumour spreading with the attitude of adjusting mechanisms |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/40721/ http://umpir.ump.edu.my/id/eprint/40721/ http://umpir.ump.edu.my/id/eprint/40721/ http://umpir.ump.edu.my/id/eprint/40721/1/Sains%20Malaysiana%20NR.pdf |