Fragmentation-Coagulation Models of Phytoplankton

Tom 54 / 2006

Ryszard Rudnicki, Radosław Wieczorek Bulletin Polish Acad. Sci. Math. 54 (2006), 175-191 MSC: Primary 60K35; Secondary 47J35, 92D40. DOI: 10.4064/ba54-2-9

Streszczenie

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.

Autorzy

  • Ryszard RudnickiInstitute of Mathematics
    Polish Academy of Sciences
    Bankowa 14
    40-007 Katowice, Poland
    and
    Institute of Mathematics
    Silesian University
    Bankowa 14
    40-007 Katowice, Poland
    e-mail
  • Radosław WieczorekInstitute of Mathematics
    Polish Academy of Sciences
    Bankowa 14
    40-007 Katowice, Poland
    e-mail

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