A biochemically based structured model for phytoplankton growth in the chemostat 1
نویسنده
چکیده
In this paper, a new model of phytoplankton growth in the chemostat is proposed. First, we give a description of the chemostat and we recall the main models: the simple Monod model, experimentally validated for bacteria growth and the Droop model, which is validated for phytoplankton growth and takes into account the possible nutrient storage. Though our model is quite similar to the Droop one, our approach is based on biochemical mechanisms and not on empirical observations. We study two versions of the model: one taking into account cell mortality; the other not. The main result is the global asymptotic stability of the equilibrium, ensuring survival of the cells under some hypotheses. The paper ends with some illustrative simulations and a comparison with the dynamic energy budget modelling approach.
منابع مشابه
A discrete , size - structured model of phytoplankton growth
A discrete, size-structured model of phytoplankton growth in the chemostat. A discrete, size-structured model of phytoplankton growth in the chemostat. Abstract: We introduce inhomogeneous, substrate dependent cell division in a nonlinear matrix model of size-structured population growth in the chemostat, rst introduced by Gage et al. 7] and later analyzed by Smith 11]. We show that mass conser...
متن کاملA discrete , size - structured model of phytoplankton growth in the chemostat
We introduce inhomogeneous, substrate dependent cell division in a time discrete, nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [8] and later analysed by Smith [13]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. Then we run nume...
متن کاملA discrete, size-structured model of phytoplankton growth in the chemostat: introduction of inhomogeneous cell division size.
We introduce inhomogeneous, substrate dependent cell division in a time discrete, nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [8] and later analysed by Smith [13]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. Then we run nume...
متن کاملPhytoplankton growth and stoichiometry under multiple nutrient limitation
Phytoplankton growth and stoichiometry depend on the availability of multiple nutrients. We use a mathematical model of phytoplankton with flexible stoichiometry to explain patterns of phytoplankton composition in chemostat experiments and nutrient drawdown dynamics that are found in the field. Exponential growth and equilibrium represent two distinct phases, each amenable to mathematical analy...
متن کامل