A new deterministic spatio-temporal continuum model for biofilm development.
Eberl, Hermann J., Parker, David F., van Loosdrecht, Mark C.M. (2001)
Journal of Theoretical Medicine
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Eberl, Hermann J., Parker, David F., van Loosdrecht, Mark C.M. (2001)
Journal of Theoretical Medicine
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Eberl, Hermann J., Khassehkhan, Hassan, Demaret, Laurent (2010)
Computational & Mathematical Methods in Medicine
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Piotr Paweł Szopa, Monika Joanna Piotrowska (2011)
Applicationes Mathematicae
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We consider the model, proposed by Dawidowicz and Zalasiński, describing the interactions between the heterotrophic and autotrophic organisms coexisting in a terrestrial environment with available oxygen. We modify this model by assuming intraspecific competition between heterotrophic organisms. Moreover, we introduce a diffusion of both types of organisms and oxygen. The basic properties of the extended model are examined and illustrated by numerical simulations.
Bruno Sportisse, Jaouad Boutahar, Edouard Debry, Denis Quélo, Karine Sartelet (2002)
RACSAM
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In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)
Discrete Dynamics in Nature and Society
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R. Rudnicki, R. Wieczorek (2010)
Mathematical Modelling of Natural Phenomena
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We present models of the dynamics of phytoplankton aggregates. We start with an individual-based model in which aggregates can grow, divide, joint and move randomly. Passing to infinity with the number of individuals, we obtain a model which describes the space-size distribution of aggregates. The density distribution function satisfies a non-linear transport equation, which contains terms responsible for the growth of phytoplankton aggregates, their fragmentation, coagulation, and...