Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand, 826004, India.
J Biol Dyn. 2012;6:524-38. doi: 10.1080/17513758.2012.655327. Epub 2012 Feb 1.
The paper is devoted to a reaction-diffusion system of equations describing phytoplankton and zooplankton distributions. Linear stability analysis of the model is carried out. Turing and Hopf stability boundaries are found. Emergence of two-dimensional spatial structures is illustrated by numerical simulations. Travelling waves between various stationary solutions are investigated. Transitions between homogeneous in space stationary solutions and Turing structures are studied.
本文致力于研究描述浮游植物和浮游动物分布的反应扩散方程组。对模型进行了线性稳定性分析。找到了 Turing 和 Hopf 稳定性边界。通过数值模拟说明了二维空间结构的出现。研究了各种定态解之间的行波。研究了空间均匀定态解与 Turing 结构之间的转变。
