A multi layer method applied to a model of phytoplankton

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

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

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.
- Phytoplankton dynamics,
- multi layer method,
- semigroup,
- method of lines,
- vertical diffusion,
- sea current
Citation: Khalid Boushaba. A multi layer method applied to a model of phytoplankton[J]. Networks and Heterogeneous Media, 2007, 2(1): 37-54. doi: 10.3934/nhm.2007.2.37

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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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