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Phytoplankton dynamics: from the behaviour of cells to a transport equation. (English) Zbl 1201.92062
Summary: We present models of the dynamics of phytoplankton aggregates. We start with an individual-based model in which aggregates can grow, divide, join and move randomly. Passing to infinity with the number of individuals, we obtain a model which describes the space-size distribution of aggregates. The density distribution function satisfies a nonlinear transport equation, which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation, coagulation, and diffusion.

92D40 Ecology
65C20 Probabilistic models, generic numerical methods in probability and statistics
Full Text: DOI EuDML