First-order differential equations of the hyperbolic type.
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Radoń, Małgorzata (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Ryszard Rudnicki, Radosław Wieczorek (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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.
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