Stability of phytoplankton dynamics

We present a model of the phytoplankton dynamics. The model is de- scribed by a transport equation which contains terms responsible for the growth of ...
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AICME II abstracts

Mathematical aspects of fragmentation and ...

Mathematical aspects of fragmentation and ...

Stability of phytoplankton dynamics Ovide Arino1 and Ryszard Rudnicki2 . We present a model of the phytoplankton dynamics. The model is described by a transport equation which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation and coagulation. The Cauchy problem is studied. The solutions of this equation form a nonlinear semigroup of positive operators on some space integrable functions. It was proved that under suitable assumptions this semigroup is globally asymptotically stable.

1

UR GEODES, IRD-Bondy, 32 avenue Henri Varagnat, 93143 Bondy, France (email: [email protected]). 2 Institute of Mathematics, Polish Academy of Sciences and Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland. (e-mail: [email protected]).

11-Ari-a

11-Ari-b

AICME II abstracts