Department of Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands.
Phys Rev Lett. 2010 Oct 1;105(14):144501. doi: 10.1103/PhysRevLett.105.144501. Epub 2010 Sep 27.
We study the statistical properties of population dynamics evolving in a realistic two-dimensional compressible turbulent velocity field. We show that the interplay between turbulent dynamics and population growth and saturation leads to quasilocalization and a remarkable reduction in the carrying capacity. The statistical properties of the population density are investigated and quantified via multifractal scaling analysis. We also investigate numerically the singular limit of negligibly small growth rates and delocalization of population ridges triggered by uniform advection.
我们研究了在真实二维可压缩紊流速度场中演化的种群动力学的统计特性。我们表明，紊流动力学与种群增长和饱和之间的相互作用导致了准局域化和承载能力的显著降低。通过多重分形标度分析研究了种群密度的统计特性，并对其进行了量化。我们还通过数值方法研究了在均匀平流触发下可忽略的小增长率和种群脊线去局域化的奇异极限。
