A discrete, size-structured model of phytoplankton growth in the chemostat
نویسندگان
چکیده
منابع مشابه
A 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...
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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...
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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...
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Competitive exclusion is proved for a discrete-time, size-structured, nonlinear matrix model of m-species competition in the chemostat. The winner is the population able to grow at the lowest nutrient concentration. This extends the results of earlier work of the first author [11] where the case m = 2 was treated.
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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,...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2002
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s002850200160