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A multi layer method applied to a model of phytoplankton

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

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