Geodesic
Fragmentation-Coagulation Models of Phytoplankton
Ryszard Rudnicki 1   ; Radosław Wieczorek 2
1 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland and Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
2 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 2, pp. 175-191 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba54-2-9
Keywords: present models dynamics phytoplankton aggregates first individual based model passing infinity number individuals obtain eulerian model model describes evolution density spatial mass distribution aggregates existence uniqueness solutions evolution equation

Ryszard Rudnicki  1   ; Radosław Wieczorek  2

1 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland and Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
2 Institute of Mathematics Polish Academy of Sciences Bankowa 14 40-007 Katowice, Poland 
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     author = {Ryszard Rudnicki and Rados{\l}aw Wieczorek},
     title = {Fragmentation-Coagulation {Models} of {Phytoplankton}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {175--191},
     year = {2006},
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     number = {2},
     doi = {10.4064/ba54-2-9},
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Ryszard Rudnicki; Radosław Wieczorek. Fragmentation-Coagulation Models of Phytoplankton. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 2, pp. 175-191. doi: 10.4064/ba54-2-9

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