浮游植物
富营养化
霍普夫分叉
营养物
水华
扩散
环境科学
动力学(音乐)
不稳定性
增长率
数学
分叉
物理
生态学
机械
生物
热力学
非线性系统
量子力学
声学
几何学
作者
Chuanjun Dai,Min Zhao,Hengguo Yu
标识
DOI:10.1016/j.ecocom.2016.03.001
摘要
In this paper, a nutrient–phytoplankton model described by a couple of reaction-diffusion equations with delay is studied analytically and numerically. The aim of this research is to provide an understanding of the impact of delay on the nutrient–phytoplankton dynamics. Significantly, the delay can not only induce instability of a positive equilibrium, but also promote the formation of patchiness (an irregular pattern) via Hopf bifurcation. However, if the delay does not exist, the positive equilibrium is always globally asymptotically stable when it exists. In addition, the numerical analysis indicates that the input rate and the loss rate of nutrient also play an important role in the growth of phytoplankton, which supports that eutrophic conditions may be a significant reason inducing phytoplankton blooms. Numerical results are consistent with the analytical results.
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