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Markov chain model of phytoplankton dynamics. (English) Zbl 1394.92145

Summary: 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.

MSC:

92D40 Ecology
60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
60J05 Discrete-time Markov processes on general state spaces
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References:

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