Kenkre V M, Kuperman M N
Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 1):051921. doi: 10.1103/PhysRevE.67.051921. Epub 2003 May 23.
The applicability of the Fisher equation, which combines diffusion with logistic nonlinearity, to population dynamics of bacterial colonies is studied with the help of explicit analytic solutions for the spatial distribution of a stationary bacterial population under a static mask. The mask protects bacteria from ultraviolet light. The solution, which is in terms of Jacobian elliptic functions, is used to provide a practical prescription to extract Fisher equation parameters from observations and to decide on the validity of the Fisher equation.
结合扩散与逻辑斯谛非线性的费希尔方程在细菌菌落种群动态中的适用性，借助静态掩膜下静止细菌种群空间分布的显式解析解进行了研究。该掩膜可保护细菌免受紫外线照射。用雅可比椭圆函数表示的解用于提供一个实用的方法，从观测中提取费希尔方程参数并判定费希尔方程的有效性。
