Dyson Louise, Yates Christian A, Buhl Jerome, McKane Alan J
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom.
Theoretical Physics Division, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(5):052708. doi: 10.1103/PhysRevE.92.052708. Epub 2015 Nov 6.
We present a minimal model to describe the onset of collective motion seen when a population of locusts are placed in an annular arena. At low densities motion is disordered, while at high densities locusts march in a common direction, which may reverse during the experiment. The data are well captured by an individual-based model, in which demographic noise leads to the observed density-dependent effects. By fitting the model parameters to equation-free coefficients, we give a quantitative comparison, showing time series, stationary distributions, and the mean switching times between states.
我们提出了一个最小模型来描述当一群蝗虫被放置在环形场地时所观察到的集体运动的起始情况。在低密度时,运动是无序的,而在高密度时,蝗虫朝着一个共同的方向行进,在实验过程中这个方向可能会反转。基于个体的模型能够很好地捕捉这些数据,在该模型中,人口统计学噪声导致了所观察到的密度依赖性效应。通过将模型参数拟合到无方程系数,我们进行了定量比较,展示了时间序列、稳态分布以及不同状态之间的平均切换时间。