Rudnicki, Ryszard; Wieczorek, Radosław Phytoplankton dynamics: from the behaviour of cells to a transport equation. (English) Zbl 1201.92062 Math. Model. Nat. Phenom. 1, No. 1, 83-100 (2006). 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. Cited in 12 Documents MSC: 92D40 Ecology 65C20 Probabilistic models, generic numerical methods in probability and statistics Keywords:formation of aggregates; coagulation; fragmentation; diffusion PDFBibTeX XMLCite \textit{R. Rudnicki} and \textit{R. Wieczorek}, Math. Model. Nat. Phenom. 1, No. 1, 83--100 (2006; Zbl 1201.92062) Full Text: DOI EuDML