Abstract As the backbone of social development, college students’ level of physical exercise has always been the focus of research by experts and scholars. Most of the research methods are on the strength of literature data, questionnaire survey, mathematical statistics and comparative analysis. Based on the classification of college students and the influence and flow law of inter-class population, this paper establishes a differential equation system. By analyzing the existence and stability of the equilibrium of this system and the possible fold or backward bifurcations at the equilibrium, the quantitative analysis of college students’ physical exercise trends on campus is carried out. This paper aims to improve the participation of college students in physical exercise by maximizing the number of students in the third categories. The results of theoretical proof, sensitivity analysis and numerical simulation show that in the initial stage, promoting peer-to-peer communication is the most effective measure. Secondly, when the effect of peer-to-peer interaction reaches saturation point, the way to improve physical education can achieve significant results. To fundamentally improve the enthusiasm of college students to participate in sports activities, we should start from the level of consciousness and enhance students’ awareness of physical exercise from an early age.

中文翻译：

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基于隔室模型的大学生体育锻炼趋势研究

摘要 作为社会发展的中坚力量，大学生体育锻炼水平一直是专家学者研究的重点。研究方法多为文献资料法、问卷调查法、数理统计法和比较分析法。本文根据大学生的分类和类间人口的影响和流动规律，建立了一个微分方程组。通过分析该系统平衡点的存在性和稳定性，以及平衡点可能出现的折叠或向后分叉，对大学生校园体育锻炼趋势进行定量分析。本文旨在通过最大限度地增加第三类学生的人数来提高大学生对体育锻炼的参与度。理论证明、敏感性分析和数值模拟结果表明，在初始阶段，促进点对点通信是最有效的措施。其次，当点对点互动的效果达到饱和点时，改善体育的方式可以取得显着的效果。要从根本上提高大学生参与体育活动的积极性，应从意识层面入手，从小增强学生的体育锻炼意识。提高体育教育的方法可以取得显着的效果。要从根本上提高大学生参与体育活动的积极性，应从意识层面入手，从小增强学生的体育锻炼意识。提高体育教育的方法可以取得显着的效果。要从根本上提高大学生参与体育活动的积极性，应从意识层面入手，从小增强学生的体育锻炼意识。