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International Conference on Mathematical Biology and

Annual Meeting of The Society for Mathematical Biology,

July 27-30, 2009

University of British Columbia, Vancouver

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Program

Poster PS18A
flora cordoleani
Université de la méditerranée
Title Heterotrophic bacteria dynamics in a simplified microbial foodweb chemostat system
Abstract The dynamics of heterotrophic bacteria within the microbial loop is very complex and depends particularly on the predation by protozoan species which control directly their abundance.To better understand what biological processes have an impact on the microorganisms trophic interactions, we studied a bi-trophic microbial food chain model in chemostat. We first consider general formulations for the resource utpake, satisfying biological relevant asumptions and provide the mathematical analysis of the model. We extend well known results on the bifurcations ocurring in such systems, in the parameter space defined by the dilution rate and the substrate concentration in the reservoir. On the basis of the paper by Fussman and Blasius (2005), we shown that the choice of the functional response formulation may have a strong impact on the dynamics of the system, even for a class of functions which statisfy the same set of phenomenological assumptions, and which are quantitatively very close. In other words the sensitivity to the structure of the model is important.
CoauthorsMathias Gauduchon, David Nerini, Jean-Christophe Poggiale
LocationWoodward Lobby (Monday-Tuesday)