A multi layer method applied to a model of phytoplankton

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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

Abstract
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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.

Keywords: multi layer method, method of lines, vertical diffusion, semigroup, sea current, Phytoplankton dynamics.

Mathematics Subject Classification: Primary: 47D06, 65M20,65M25, 74G55, 34K1.

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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