对于多病性流行病和选民模型的阶段过渡,具有多尺度组的选民模型.
Pia Steinmeyer1, Jan Mölter1, Christian Kuehn1,2,3
1Technical University of Munich, Department of Mathematics, School of Computation, Information and Technology, Boltzmannstraße 3, 85748 Garching bei München, Germany.
Physical review. E
|November 18, 2025
概括
涉及小型和大型群体的多层次的多层次相互作用显著改变了系统动态. 这些更高层次的相互作用保护了无疾病的国家,并在流行病和选民模型中稳定了网络.
科学领域:
- 复杂的系统复杂的系统.
- 统计物理学的统计物理.
- 网络科学 网络科学
背景情况:
- 以前对粒子系统的研究通常假定相互作用的小组大小.
- 众所周知,多态 (高阶) 相互作用会影响系统动态,但在不同的群体尺度下,这些相互作用的探索较少.
研究的目的:
- 为了研究多层次的多层次群体相互作用 (小型和大型群体) 对系统动态的影响.
- 分析对平衡动力学和范式模型中的相变的影响.
主要方法:
- 两种模型的平均场分析:SIS-流行病和适应选民模型.
- 检查多基相互作用中不同的组大小如何影响模型结果.
主要成果:
- 对于SIS-流行病模型,确定了一个双稳定区域,保护了超出典型流行病值的无疾病状态.
- 对于自适应选民模型来说,多层次的多层次相互作用被证明可以稳定网络或加速趋同到一个无偏的平衡.
结论:
- 多层次的多态相互作用引入了小组假设无法捕捉到的显著效应.
- 这些发现对理解疾病传播和复杂系统中的网络行为有影响.
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