A multi layer method applied to a model of phytoplankton

Khalid Boushaba

doi:10.3934/nhm.2007.2.37

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2007, Volume 2, Issue 1: 37-54. Doi: 10.3934/nhm.2007.2.37

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A multi layer method applied to a model of phytoplankton

Khalid Boushaba^1,

1.
Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011

Received: June 30, 2006

Revised: November 30, 2006

Published: February 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 47D06, 65M20,65M25, 74G55, 34K18.

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