American Institute of Mathematical Sciences

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

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  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.
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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