Numerical treatment of a nonlocal model for phytoplankton aggregation

被引：7
作者：
El Saadi, Nadjia [1 ]
Bah, Alassane [2 ]
机构：
[1] ENSSEA, LAMOPS, Algiers, Algeria
[2] ESP UCAD, UMMISCO IRD Paris 6, UMI 209, Dakar, Senegal
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期
关键词：
Phytoplankton aggregation; Integro-partial differential equation; Explicit finite difference scheme; Lagrangian model; Eulerian model; SYMBIODINIUM-MICROADRIATICUM; GYMNODINIUM-FUNGIFORME; CHEMOSENSORY RESPONSES; DINOFLAGELLATE; BEHAVIOR;
D O I：
10.1016/j.amc.2012.01.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are interested in the numerical treatment of a nonlinear model describing phytoplankton aggregation. The model consists in an integro-differential diffusion equation, with a chemotaxis term responsible for self-attraction of phytoplankton cells. We develop and implement a numerical scheme to solve this nonlinear PDE and present numerical solutions for parameters values corresponding to real conditions in nature. The numerical results emphasize the role of the nonlinear chemotaxis term in producing aggregating patterns and further, they are used to explore the asymptotic behavior of the model. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：8279 / 8287
页数：9
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