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Markov chain model of phytoplankton dynamics

Wieczorek R.

International Journal of Applied Mathematics and Computer Science

2010

Vol. 20, no 4

763-771

A discrete-time stochastic spatial model of plankton dynamics is given. We focus on aggregative behaviour of plankton cells. Our aim is to show the convergence of a microscopic, stochastic model to a macroscopic one, given by an evolution equation. Some numerical simulations are also presented.

Fragmentation-coagulation models of phytoplankton

Rudnicki R., Wieczorek R.

Bulletin of the Polish Academy of Sciences. Mathematics

2006

Vol. 54, no 2

175-191

We present two new models of the dynamics of phytoplankton aggregates. The first one is an individual-based model. Passing to infinity with the number of individuals, we obtain an Eulerian model. This model describes the evolution of the density of the spatial-mass distribution of aggregates. We show the existence and uniqueness of solutions of the evolution equation.