Analysis of school bullying menace incorporating family education: a mathematical modeling approach
School bullying is a severe social problem that has an unfavorable impact on students development and behavior. Based on family education and students memory of having been bullied or witnessed bullying, this work established a mathematical model for analyzing school bullying dynamics. By employing...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2025-01-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2024.1502500/full |
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| author | Adejimi Adeniji Adejimi Adeniji Adejimi Adeniji Emmanuel Addai Shatalov Michael Kekana Malesela Joshua Kiddy K. Asamoah Joshua Kiddy K. Asamoah Kayode Oshinubi |
| author_facet | Adejimi Adeniji Adejimi Adeniji Adejimi Adeniji Emmanuel Addai Shatalov Michael Kekana Malesela Joshua Kiddy K. Asamoah Joshua Kiddy K. Asamoah Kayode Oshinubi |
| author_sort | Adejimi Adeniji |
| collection | DOAJ |
| description | School bullying is a severe social problem that has an unfavorable impact on students development and behavior. Based on family education and students memory of having been bullied or witnessed bullying, this work established a mathematical model for analyzing school bullying dynamics. By employing the Caputo fractional derivative, the model incorporates students' memory in the interactional patterns of bullying, which provides for improved emulation of the impacts of previous episodes on future behaviors. An Adams-Bashforth method numerical scheme is presented, offering a robust approach for scenario simulations under the Caputo fractional operator. Scenario simulations shows the impact of family education on the prevalence and dynamics of school bullying. It is noticed that the behavior of students who lack and with family education and not involving bullying under different values of fractional order. The trajectory changes with the fractional order, suggesting that the system's sensitivity to initial conditions or recent changes decreases as fractional order reduce from the normal dynamics (integer order). Essentially, a lower fractional order makes the system less reactive to short-term fluctuations and more stable. |
| format | Article |
| id | doaj-art-75f90dd90d29468680c28b257a8fea00 |
| institution | Kabale University |
| issn | 2297-4687 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj-art-75f90dd90d29468680c28b257a8fea002025-01-09T06:10:35ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872025-01-011010.3389/fams.2024.15025001502500Analysis of school bullying menace incorporating family education: a mathematical modeling approachAdejimi Adeniji0Adejimi Adeniji1Adejimi Adeniji2Emmanuel Addai3Shatalov Michael4Kekana Malesela5Joshua Kiddy K. Asamoah6Joshua Kiddy K. Asamoah7Kayode Oshinubi8Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South AfricaLa Trobe University, Melbourne, VIC, AustraliaBlack in Mathematics Association (BMA), Pretoria, South AfricaCollege of Computer and Information Science, University of Arkansas at Little Rock, Little Rock, AR, United StatesDepartment of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South AfricaDepartment of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South AfricaDepartment of Mathematics, Saveetha School of Engineering SIMATS, Chennai, IndiaDepartment of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaBlack in Mathematics Association (BMA), Department of Information and Cyber System, Northern Arizona University, Flagstaff, AZ, United StatesSchool bullying is a severe social problem that has an unfavorable impact on students development and behavior. Based on family education and students memory of having been bullied or witnessed bullying, this work established a mathematical model for analyzing school bullying dynamics. By employing the Caputo fractional derivative, the model incorporates students' memory in the interactional patterns of bullying, which provides for improved emulation of the impacts of previous episodes on future behaviors. An Adams-Bashforth method numerical scheme is presented, offering a robust approach for scenario simulations under the Caputo fractional operator. Scenario simulations shows the impact of family education on the prevalence and dynamics of school bullying. It is noticed that the behavior of students who lack and with family education and not involving bullying under different values of fractional order. The trajectory changes with the fractional order, suggesting that the system's sensitivity to initial conditions or recent changes decreases as fractional order reduce from the normal dynamics (integer order). Essentially, a lower fractional order makes the system less reactive to short-term fluctuations and more stable.https://www.frontiersin.org/articles/10.3389/fams.2024.1502500/fullnumerical schemebullying modelCaputo fractional operatormathematical modelstability analysis MSC: 00A71 and 93A30 |
| spellingShingle | Adejimi Adeniji Adejimi Adeniji Adejimi Adeniji Emmanuel Addai Shatalov Michael Kekana Malesela Joshua Kiddy K. Asamoah Joshua Kiddy K. Asamoah Kayode Oshinubi Analysis of school bullying menace incorporating family education: a mathematical modeling approach Frontiers in Applied Mathematics and Statistics numerical scheme bullying model Caputo fractional operator mathematical model stability analysis MSC: 00A71 and 93A30 |
| title | Analysis of school bullying menace incorporating family education: a mathematical modeling approach |
| title_full | Analysis of school bullying menace incorporating family education: a mathematical modeling approach |
| title_fullStr | Analysis of school bullying menace incorporating family education: a mathematical modeling approach |
| title_full_unstemmed | Analysis of school bullying menace incorporating family education: a mathematical modeling approach |
| title_short | Analysis of school bullying menace incorporating family education: a mathematical modeling approach |
| title_sort | analysis of school bullying menace incorporating family education a mathematical modeling approach |
| topic | numerical scheme bullying model Caputo fractional operator mathematical model stability analysis MSC: 00A71 and 93A30 |
| url | https://www.frontiersin.org/articles/10.3389/fams.2024.1502500/full |
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