March  2007, 2(1): 37-54. doi: 10.3934/nhm.2007.2.37

A multi layer method applied to a model of phytoplankton

1. 

Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011

Received  July 2006 Revised  December 2006 Published  December 2006

In this paper, we develop a multi layer method to solve a generalized case of a phytoplankton model introduced in [7]. It is treated by means of a sequence of approximations: the mixed layer is subdivided into a finite number of thin layers within each of which horizontal velocity can be considered constant with respect to depth. Existence, uniqueness and non negativity of solutions are investigated.
Citation: Khalid Boushaba. A multi layer method applied to a model of phytoplankton. Networks & Heterogeneous Media, 2007, 2 (1) : 37-54. doi: 10.3934/nhm.2007.2.37
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