Article ID Journal Published Year Pages File Type
4402842 Procedia Environmental Sciences 2012 6 Pages PDF
Abstract

The phytoplankton production is a basis for a life activity of all species in every aquatic ecological system. Remote sounding methods make it possible to estimate chlorophyll concentration on the ocean surface. The data from remote sounding methods and the data of a nutrient concentration enable us to calculate and model the phytoplankton abundance. These calculations provide a possibility for the description of the phytoplankton production processes. We present here some models for the dynamics of the phytoplankton biomass. The qualitative properties of the solutions of these models are investigated. Strategically activities of the cell are defined by its internal state and by the environmental conditions. The state of the cell depends on nutrients. Our mathematical models describe the abundance dynamics for phytoplankton's community and dynamics of the cellular nutrients content. The models are based on the systems of differential equations. These models may be open or closed relative to the matter. The open models describe the chemostat processes. We investigate the property of the solutions of these models. The closed models have a infinite set of the positive solutions. The open models have a finite set of the non-negative solutions. The algorithm for finding the stable equilibrium solutions in open models is constructed. The theorems about the stable equilibrium solutions are proved with help the methods of structural analysis. These models describe the phytoplankton dynamics in the Black Sea.

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Life Sciences Environmental Science Ecology