Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime
Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime
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紧张抑制政权中社会爆发模型中的行波解决方案
DOI：
10.1111/sapm.12394
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发表时间：
2021
影响因子：
2.7
通讯作者：
Rodriguez, Nancy
中科院分区：
文献类型：
--
作者：
Bakhshi, Marzieh;Ghazaryan, Anna;Manukian, Vahagn;Rodriguez, Nancy
在这项工作中，我们研究了Berestycki等人最初提出的模拟社会爆发（如骚乱活动）的反应扩散系统的非单调行波解的存在性（Netw Heterog Media. 2015;10(3): 443-475）。该模型由两个标量值组成，即动荡水平和张力场。该模型的一个关键组成部分是动荡中的从众效应，前提是紧张程度足够高。我们关注的是所谓的紧张-抑制制度，其特点是不稳定的水平对紧张有负反馈。这一制度已被证明与2005年法国骚乱的时空传播具有物理相关性。利用几何奇异摄动理论研究了两种情况下此类解的存在性。第一种是两者都以很小的速率扩散。在这里，观察到从众效应的时间尺度起着关键作用。我们考虑的第二种情况是，当紧张局势的扩散速度远低于动荡程度时。在这种情况下，我们可以推断出驱动动力学是由众所周知的Fisher-Kolmogorov - Petrovsky - Piskunov （KPP）方程建模的。
In this work, we investigate the existence of nonmonotone traveling wave solutions to a reaction‐diffusion system modeling social outbursts, such as rioting activity, originally proposed in Berestycki et al (Netw Heterog Media. 2015;10(3):443–475). The model consists of two scalar values, the level of unrest and a tension field . A key component of the model is a bandwagon effect in the unrest, provided the tension is sufficiently high. We focus on the so‐called tension‐inhibitive regime, characterized by the fact that the level of unrest has a negative feedback on the tension. This regime has been shown to be physically relevant for the spatiotemporal spread of the 2005 French riots. We use Geometric Singular Perturbation Theory to study the existence of such solutions in two situations. The first is when both and diffuse at a very small rate. Here, the time scale over which the bandwagon effect is observed plays a key role. The second case we consider is when the tension diffuses at a much slower rate than the level of unrest. In this case, we are able to deduce that the driving dynamics are modeled by the well‐known Fisher–Kolmogorov‐Petrovsky‐Piskunov (KPP) equation.
抗议作为政治资源
影响因子：
6.8
作者：
M. Lipsky
通讯作者：
M. Lipsky
社会活动爆发的周期性循环
影响因子：
2.4
作者：
H. Berestycki;L. Rossi;N. Rodríguez
通讯作者：
N. Rodríguez