对集体行动和抗议浪潮作出镇压反应的数学模型。

IF 1.9 4区数学 Q2 BIOLOGY

Journal of Theoretical Biology Pub Date : 2024-10-19 DOI:10.1016/j.jtbi.2024.111970

V. Volpert

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引用次数: 0

摘要

国家与社会之间错综复杂的相互作用可能会助长反对意见，并促使集体行动成为一种抗议方式。当国家对这种集体行动做出镇压性反应时，其目的是破坏这种集体行动，使其成本上升。通过微分方程建立的镇压反应与集体行动相关的数学模型，有助于对两者的动态互动进行深入分析。建模结果表明，镇压性制度可能表现出持续性、振荡模式或不稳定性，有可能过渡到替代性制度。这一建模框架提供了一种方法，可用于辨别各种因素对镇压性政权动态的影响，并就不同国家在其特定历史时期出现的抗议周期提供建模见解。

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Mathematical model of repressive response to collective action and protest waves

The intricate interplay between the state and society may foster opposition and prompt collective action as a mode of protest. When the state responds repressively to such collective action, it aims to undermine it escalating its costs. A mathematical model relating the repressive response to collective action, articulated through differential equations, facilitates a thorough analysis of their dynamic interaction. Modelling outcomes indicate that repressive regimes may exhibit sustained persistence, oscillatory patterns, or destabilization, potentially transitioning into alternative regimes. This modelling framework offers a means to discern the impact of diverse factors on the dynamics of repressive regimes and to provide modelling insight on the emergence of cycles of protest observed in different countries during certain periods of their history.

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来源期刊

Journal of Theoretical Biology 生物-生物学

CiteScore

4.20

自引率

5.00%

发文量

218

审稿时长

51 days

期刊介绍： The Journal of Theoretical Biology is the leading forum for theoretical perspectives that give insight into biological processes. It covers a very wide range of topics and is of interest to biologists in many areas of research, including: • Brain and Neuroscience • Cancer Growth and Treatment • Cell Biology • Developmental Biology • Ecology • Evolution • Immunology, • Infectious and non-infectious Diseases, • Mathematical, Computational, Biophysical and Statistical Modeling • Microbiology, Molecular Biology, and Biochemistry • Networks and Complex Systems • Physiology • Pharmacodynamics • Animal Behavior and Game Theory Acceptable papers are those that bear significant importance on the biology per se being presented, and not on the mathematical analysis. Papers that include some data or experimental material bearing on theory will be considered, including those that contain comparative study, statistical data analysis, mathematical proof, computer simulations, experiments, field observations, or even philosophical arguments, which are all methods to support or reject theoretical ideas. However, there should be a concerted effort to make papers intelligible to biologists in the chosen field.