Applicability of the Fisher Equation to Bacterial Population Dynamics

Details Applicability of the Fisher Equation to Bacterial Population Dynamics Applicability of the Fisher Equation to Bacterial Population Dynamics

2002-10-23

arxiv.org/abs/nlin/0210055v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

5 pages, 3 figs. included

Scientific paper

10.1103/PhysRevE.67.051921

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 the 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.

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