Fragmentation-Coagulation Models of Phytoplankton
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 175-191
MSC: Primary 60K35; Secondary 47J35, 92D40.
DOI: 10.4064/ba54-2-9
Abstract
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.
