# American Institute of Mathematical Sciences

March  2015, 20(2): 587-597. doi: 10.3934/dcdsb.2015.20.587

## Concentration phenomenon in a nonlocal equation modeling phytoplankton growth

 1 Department of Mathematics, Henan Normal University, Xinxiang, Henan 453007, China 2 Department of Mathematics, Hebei University of Engineering, Handan, Hebei 056021, China, China

Received  June 2013 Revised  November 2014 Published  January 2015

We study a nonlocal reaction-diffusion-advection equation arising from the study of a single phytoplankton species competing for light in a poorly mixed water column. When the diffusion coefficient is very small, the phytoplankton population concentrates around certain zeros of the advection function. The corresponding phytoplankton distribution approaches a $\delta$-like function centered at those zeros.
Citation: Linfeng Mei, Wei Dong, Changhe Guo. Concentration phenomenon in a nonlocal equation modeling phytoplankton growth. Discrete & Continuous Dynamical Systems - B, 2015, 20 (2) : 587-597. doi: 10.3934/dcdsb.2015.20.587
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