校园欺凌动态的数学模型

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-12-24 DOI:10.1016/j.amc.2024.129254

Nuno Crokidakis

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引用次数: 0

摘要

我们分析了一个数学模型来理解校园欺凌的动态。该模型将人口分为四组：易受影响的个体、欺凌者、暴露于欺凌的个体和暴力个体。这些状态之间的转换速度被设计为捕捉学生之间复杂的互动，受到诸如浪漫拒绝、与同伴和老师的冲突以及其他与学校有关的挑战等因素的影响。这些互动可能会升级为欺凌和暴力行为。该模型还纳入了家长和学校管理人员通过干预策略减轻欺凌的作用。结果表明，如果学校实施的反欺凌计划足够健全，欺凌可以得到有效控制。此外，还探讨了欺凌持续存在的条件。

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A mathematical model for the bullying dynamics in schools

We analyze a mathematical model to understand the dynamics of bullying in schools. The model considers a population divided into four groups: susceptible individuals, bullies, individuals exposed to bullying, and violent individuals. Transitions between these states occur at rates designed to capture the complex interactions among students, influenced by factors such as romantic rejection, conflicts with peers and teachers, and other school-related challenges. These interactions can escalate into bullying and violent behavior. The model also incorporates the role of parents and school administrators in mitigating bullying through intervention strategies. The results suggest that bullying can be effectively controlled if anti-bullying programs implemented by schools are sufficiently robust. Additionally, the conditions under which bullying persists are explored.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.